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87297792 = 283197577
BaseRepresentation
bin1010011010000…
…00111100000000
320002021012001120
411031000330000
5134322012132
612355032240
72110006341
oct515007400
9202235046
1087297792
114530613a
122529b680
1315116cca
14b8460c8
1579e602c
hex5340f00

87297792 has 72 divisors (see below), whose sum is σ = 233923536. Its totient is φ = 28901376.

The previous prime is 87297787. The next prime is 87297803. The reversal of 87297792 is 29779278.

It is a congruent number.

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, 151008 + ... + 151584.

It is an arithmetic number, because the mean of its divisors is an integer number (3248938).

Almost surely, 287297792 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 87297792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116961768).

87297792 is an abundant number, since it is smaller than the sum of its proper divisors (146625744).

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

87297792 is a wasteful number, since it uses less digits than its factorization.

87297792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its digits is 889056, while the sum is 51.

The square root of 87297792 is about 9343.3287430123. The cubic root of 87297792 is about 443.6097536831.

The spelling of 87297792 in words is "eighty-seven million, two hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 256 384 394 577 591 768 788 1154 1182 1576 1731 2308 2364 3152 3462 4616 4728 6304 6924 9232 9456 12608 13848 18464 18912 25216 27696 36928 37824 50432 55392 73856 75648 110784 113669 147712 151296 221568 227338 341007 443136 454676 682014 909352 1364028 1818704 2728056 3637408 5456112 7274816 10912224 14549632 21824448 29099264 43648896 87297792