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96087264 = 25371317647
BaseRepresentation
bin1011011101000…
…10110011100000
320200210201221120
411232202303200
5144044243024
613311252240
72244504540
oct556426340
9220721846
1096087264
114a269869
122821a080
1316ba3890
14ca93320
158680479
hex5ba2ce0

96087264 has 192 divisors, whose sum is σ = 329204736. Its totient is φ = 23814144.

The previous prime is 96087263. The next prime is 96087301. The reversal of 96087264 is 46278069.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96087263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148189 + ... + 148835.

It is an arithmetic number, because the mean of its divisors is an integer number (1714608).

Almost surely, 296087264 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 96087264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164602368).

96087264 is an abundant number, since it is smaller than the sum of its proper divisors (233117472).

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

96087264 is a wasteful number, since it uses less digits than its factorization.

96087264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 96087264 is about 9802.4111319614. The cubic root of 96087264 is about 458.0243943707.

The spelling of 96087264 in words is "ninety-six million, eighty-seven thousand, two hundred sixty-four".