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4412144928 = 253476731453
BaseRepresentation
bin1000001101111101…
…11111110100100000
3102101111020012000010
410012332333310200
533014002114203
62005451324520
7214223420202
oct40676776440
912344205003
104412144928
1119645a4874
12a31750740
13554125c59
142dbd9a772
151ac537303
hex106fbfd20

4412144928 has 96 divisors (see below), whose sum is σ = 11854031616. Its totient is φ = 1436295168.

The previous prime is 4412144927. The next prime is 4412144951. The reversal of 4412144928 is 8294412144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×44121449282 = 38934045731352250368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4412144923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3035850 + ... + 3037302.

It is an arithmetic number, because the mean of its divisors is an integer number (123479496).

Almost surely, 24412144928 is an apocalyptic number.

4412144928 is a gapful number since it is divisible by the number (48) 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 4412144928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927015808).

4412144928 is an abundant number, since it is smaller than the sum of its proper divisors (7441886688).

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

4412144928 is a wasteful number, since it uses less digits than its factorization.

4412144928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2178 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 4412144928 is about 66423.9785619621. The cubic root of 4412144928 is about 1640.1488225049.

The spelling of 4412144928 in words is "four billion, four hundred twelve million, one hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 673 752 1128 1346 1453 1504 2019 2256 2692 2906 4038 4359 4512 5384 5812 8076 8718 10768 11624 16152 17436 21536 23248 31631 32304 34872 46496 63262 64608 68291 69744 94893 126524 136582 139488 189786 204873 253048 273164 379572 409746 506096 546328 759144 819492 977869 1012192 1092656 1518288 1638984 1955738 2185312 2933607 3036576 3277968 3911476 5867214 6555936 7822952 11734428 15645904 23468856 31291808 45959843 46937712 91919686 93875424 137879529 183839372 275759058 367678744 551518116 735357488 1103036232 1470714976 2206072464 4412144928