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81058944 = 273292251
BaseRepresentation
bin1001101010011…
…01110010000000
312122112012222010
410311031302000
5131222341234
612013212520
72002663311
oct465156200
9178465863
1081058944
114183486a
1223191140
1313a41395
14aaa0608
1571b26e9
hex4d4dc80

81058944 has 96 divisors (see below), whose sum is σ = 223881840. Its totient is φ = 25984000.

The previous prime is 81058931. The next prime is 81058951. The reversal of 81058944 is 44985018.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322819 + ... + 323069.

Almost surely, 281058944 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 81058944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111940920).

81058944 is an abundant number, since it is smaller than the sum of its proper divisors (142822896).

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

81058944 is a wasteful number, since it uses less digits than its factorization.

81058944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 81058944 is about 9003.2740711366. The cubic root of 81058944 is about 432.7797986797.

The spelling of 81058944 in words is "eighty-one million, fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 251 348 384 464 502 696 753 841 928 1004 1392 1506 1682 1856 2008 2523 2784 3012 3364 3712 4016 5046 5568 6024 6728 7279 8032 10092 11136 12048 13456 14558 16064 20184 21837 24096 26912 29116 32128 40368 43674 48192 53824 58232 80736 87348 96384 107648 116464 161472 174696 211091 232928 322944 349392 422182 465856 633273 698784 844364 931712 1266546 1397568 1688728 2533092 2795136 3377456 5066184 6754912 10132368 13509824 20264736 27019648 40529472 81058944