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81292912 = 2417312311
BaseRepresentation
bin1001101100001…
…10111001110000
312122222002220121
410312012321300
5131302333122
612022220024
72004656401
oct466067160
9178862817
1081292912
1141984628
1223284614
1313ac3a1c
14ab219a8
15720bbc7
hex4d86e70

81292912 has 60 divisors (see below), whose sum is σ = 172877328. Its totient is φ = 36902400.

The previous prime is 81292907. The next prime is 81292921. The reversal of 81292912 is 21929218.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 261237 + ... + 261547.

Almost surely, 281292912 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 81292912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86438664).

81292912 is an abundant number, since it is smaller than the sum of its proper divisors (91584416).

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

81292912 is a wasteful number, since it uses less digits than its factorization.

81292912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 361 counting only the distinct ones).

The product of its digits is 5184, while the sum is 34.

The square root of 81292912 is about 9016.2582039336. The cubic root of 81292912 is about 433.1957896146.

The spelling of 81292912 in words is "eighty-one million, two hundred ninety-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 311 496 527 622 961 1054 1244 1922 2108 2488 3844 4216 4976 5287 7688 8432 9641 10574 15376 16337 19282 21148 32674 38564 42296 65348 77128 84592 130696 154256 163897 261392 298871 327794 597742 655588 1195484 1311176 2390968 2622352 4781936 5080807 10161614 20323228 40646456 81292912