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4400995904 = 261723397443
BaseRepresentation
bin1000001100101000…
…11101111001000000
3102100201020202102022
410012110131321000
533003123332104
62004412341012
7214026563564
oct40624357100
912321222368
104400995904
11195927a3a8
12a29a74768
13551a213b6
142da6d76a4
151ab583bbe
hex10651de40

4400995904 has 112 divisors (see below), whose sum is σ = 9695127168. Its totient is φ = 1971560448.

The previous prime is 4400995877. The next prime is 4400995913. The reversal of 4400995904 is 4095990044.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9934307 + ... + 9934749.

Almost surely, 24400995904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400995904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847563584).

4400995904 is an abundant number, since it is smaller than the sum of its proper divisors (5294131264).

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

4400995904 is a wasteful number, since it uses less digits than its factorization.

4400995904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 4400995904 is about 66340.0022912270. The cubic root of 4400995904 is about 1638.7661629855.

The spelling of 4400995904 in words is "four billion, four hundred million, nine hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 136 184 272 368 391 397 443 544 736 782 794 886 1088 1472 1564 1588 1772 3128 3176 3544 6256 6352 6749 7088 7531 9131 10189 12512 12704 13498 14176 15062 18262 20378 25024 25408 26996 28352 30124 36524 40756 53992 60248 73048 81512 107984 120496 146096 155227 163024 173213 175871 215968 240992 292192 310454 326048 346426 351742 431936 481984 584384 620908 652096 692852 703484 1241816 1385704 1406968 2483632 2771408 2813936 2989807 4045033 4967264 5542816 5627872 5979614 8090066 9934528 11085632 11255744 11959228 16180132 23918456 32360264 47836912 64720528 68765561 95673824 129441056 137531122 191347648 258882112 275062244 550124488 1100248976 2200497952 4400995904