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87326976 = 2831110337
BaseRepresentation
bin1010011010010…
…00000100000000
320002022200002110
411031020010000
5134323430401
612355415320
72110160412
oct515100400
9202280073
1087326976
1145326060
12252b4540
1315127389
14b8529b2
1579ee9d6
hex5348100

87326976 has 72 divisors (see below), whose sum is σ = 253570464. Its totient is φ = 26460160.

The previous prime is 87326933. The next prime is 87326989. The reversal of 87326976 is 67962378.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3280 + ... + 13616.

It is an arithmetic number, because the mean of its divisors is an integer number (3521812).

Almost surely, 287326976 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 87326976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126785232).

87326976 is an abundant number, since it is smaller than the sum of its proper divisors (166243488).

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

87326976 is a wasteful number, since it uses less digits than its factorization.

87326976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10367 (or 10353 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 87326976 is about 9344.8903685383. The cubic root of 87326976 is about 443.6591816788.

The spelling of 87326976 in words is "eighty-seven million, three hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 10337 20674 31011 41348 62022 82696 113707 124044 165392 227414 248088 330784 341121 454828 496176 661568 682242 909656 992352 1323136 1364484 1819312 1984704 2646272 2728968 3638624 3969408 5457936 7277248 7938816 10915872 14554496 21831744 29108992 43663488 87326976