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80942976 = 273437211
BaseRepresentation
bin1001101001100…
…01011110000000
312122022022220000
410310301132000
5131210133401
612010520000
72002001232
oct464613600
9178268800
1080942976
1141765724
1223136000
1313a0066a
14aa70252
15718d186
hex4d31780

80942976 has 160 divisors (see below), whose sum is σ = 248567880. Its totient is φ = 26127360.

The previous prime is 80942971. The next prime is 80942987. The reversal of 80942976 is 67924908.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80942971) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 383511 + ... + 383721.

Almost surely, 280942976 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 80942976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124283940).

80942976 is an abundant number, since it is smaller than the sum of its proper divisors (167624904).

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

80942976 is a wasteful number, since it uses less digits than its factorization.

80942976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 80942976 is about 8996.8314422356. The cubic root of 80942976 is about 432.5733128864.

It can be divided in two parts, 80942 and 976, that added together give a palindrome (81918).

The spelling of 80942976 in words is "eighty million, nine hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 211 216 222 288 296 324 333 384 422 432 444 576 592 633 648 666 844 864 888 999 1152 1184 1266 1296 1332 1688 1728 1776 1899 1998 2368 2532 2592 2664 2997 3376 3456 3552 3798 3996 4736 5064 5184 5328 5697 5994 6752 7104 7596 7807 7992 10128 10368 10656 11394 11988 13504 14208 15192 15614 15984 17091 20256 21312 22788 23421 23976 27008 30384 31228 31968 34182 40512 42624 45576 46842 47952 60768 62456 63936 68364 70263 81024 91152 93684 95904 121536 124912 127872 136728 140526 182304 187368 191808 210789 243072 249824 273456 281052 364608 374736 383616 421578 499648 546912 562104 632367 729216 749472 843156 999296 1093824 1124208 1264734 1498944 1686312 2187648 2248416 2529468 2997888 3372624 4496832 5058936 6745248 8993664 10117872 13490496 20235744 26980992 40471488 80942976