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81182912 = 2647137197
BaseRepresentation
bin1001101011011…
…00000011000000
312122202112000112
410311230003000
5131240323122
612020010452
72004020606
oct465540300
9178675015
1081182912
1141909a18
1223230a28
1313a85935
14aad3876
1571d92e2
hex4d6c0c0

81182912 has 56 divisors (see below), whose sum is σ = 166567104. Its totient is φ = 39237632.

The previous prime is 81182903. The next prime is 81182923. The reversal of 81182912 is 21928118.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411998 + ... + 412194.

Almost surely, 281182912 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 81182912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83283552).

81182912 is an abundant number, since it is smaller than the sum of its proper divisors (85384192).

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

81182912 is a wasteful number, since it uses less digits than its factorization.

81182912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 383 counting only the distinct ones).

The product of its digits is 2304, while the sum is 32.

The square root of 81182912 is about 9010.1560474833. The cubic root of 81182912 is about 433.0003111291. Note that the first 3 decimals are identical.

The spelling of 81182912 in words is "eighty-one million, one hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 137 188 197 274 376 394 548 752 788 1096 1504 1576 2192 3008 3152 4384 6304 6439 8768 9259 12608 12878 18518 25756 26989 37036 51512 53978 74072 103024 107956 148144 206048 215912 296288 412096 431824 592576 863648 1268483 1727296 2536966 5073932 10147864 20295728 40591456 81182912