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4479465312 = 253274195303
BaseRepresentation
bin1000010101111111…
…10011011101100000
3102120011220102012200
410022333303131200
533133220342222
62020254253200
7216001553430
oct41277633540
912504812180
104479465312
1119995a5653
12a501b7200
13565066bba
14306cc22c0
151b33d3eac
hex10aff3760

4479465312 has 144 divisors (see below), whose sum is σ = 14595759360. Its totient is φ = 1276551936.

The previous prime is 4479465307. The next prime is 4479465317. The reversal of 4479465312 is 2135649744.

4479465312 is a `hidden beast` number, since 4 + 4 + 79 + 46 + 531 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4479465307) and next prime (4479465317).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×44794653122 = 40131218962822514688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4479465317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 842053 + ... + 847355.

It is an arithmetic number, because the mean of its divisors is an integer number (101359440).

Almost surely, 24479465312 is an apocalyptic number.

4479465312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4479465312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297879680).

4479465312 is an abundant number, since it is smaller than the sum of its proper divisors (10116294048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4479465312 is a wasteful number, since it uses less digits than its factorization.

4479465312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745 (or 5734 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 4479465312 is about 66928.8077885749. The cubic root of 4479465312 is about 1648.4485339274.

The spelling of 4479465312 in words is "four billion, four hundred seventy-nine million, four hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 419 504 672 838 1008 1257 1676 2016 2514 2933 3352 3771 5028 5303 5866 6704 7542 8799 10056 10606 11732 13408 15084 15909 17598 20112 21212 23464 26397 30168 31818 35196 37121 40224 42424 46928 47727 52794 60336 63636 70392 74242 84848 93856 95454 105588 111363 120672 127272 140784 148484 169696 190908 211176 222726 254544 281568 296968 334089 381816 422352 445452 509088 593936 668178 763632 844704 890904 1187872 1336356 1527264 1781808 2221957 2672712 3563616 4443914 5345424 6665871 8887828 10690848 13331742 15553699 17775656 19997613 26663484 31107398 35551312 39995226 46661097 53326968 62214796 71102624 79990452 93322194 106653936 124429592 139983291 159980904 186644388 213307872 248859184 279966582 319961808 373288776 497718368 559933164 639923616 746577552 1119866328 1493155104 2239732656 4479465312