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80937696 = 2537432801
BaseRepresentation
bin1001101001100…
…00001011100000
312122022001122110
410310300023200
5131210001241
612010435320
72001646650
oct464601340
9178261573
1080937696
1141761764
1223132b40
13139cb138
14aa6c360
15718b816
hex4d302e0

80937696 has 96 divisors (see below), whose sum is σ = 248548608. Its totient is φ = 22579200.

The previous prime is 80937641. The next prime is 80937707. The reversal of 80937696 is 69673908.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27496 + ... + 30296.

It is an arithmetic number, because the mean of its divisors is an integer number (2589048).

Almost surely, 280937696 is an apocalyptic number.

80937696 is a gapful number since it is divisible by the number (86) 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 80937696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124274304).

80937696 is an abundant number, since it is smaller than the sum of its proper divisors (167610912).

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

80937696 is a wasteful number, since it uses less digits than its factorization.

80937696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 80937696 is about 8996.5380008090. The cubic root of 80937696 is about 432.5639069364.

The spelling of 80937696 in words is "eighty million, nine hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 903 1032 1204 1376 1806 2064 2408 2801 3612 4128 4816 5602 7224 8403 9632 11204 14448 16806 19607 22408 28896 33612 39214 44816 58821 67224 78428 89632 117642 120443 134448 156856 235284 240886 268896 313712 361329 470568 481772 627424 722658 843101 941136 963544 1445316 1686202 1882272 1927088 2529303 2890632 3372404 3854176 5058606 5781264 6744808 10117212 11562528 13489616 20234424 26979232 40468848 80937696