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96513856 = 2629149349
BaseRepresentation
bin1011100000010…
…10111101000000
320201121102010021
411300022331000
5144201420411
613324343224
72251232335
oct560127500
9221542107
1096513856
114a53031a
12283a4b14
1316cc2aba
14cb6498c
158716a71
hex5c0af40

96513856 has 56 divisors (see below), whose sum is σ = 200025000. Its totient is φ = 46147584.

The previous prime is 96513847. The next prime is 96513929. The reversal of 96513856 is 65831569.

It can be written as a sum of positive squares in 4 ways, for example, as 8904256 + 87609600 = 2984^2 + 9360^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 276370 + ... + 276718.

It is an arithmetic number, because the mean of its divisors is an integer number (3571875).

Almost surely, 296513856 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 96513856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100012500).

96513856 is an abundant number, since it is smaller than the sum of its proper divisors (103511144).

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

96513856 is a wasteful number, since it uses less digits than its factorization.

96513856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 529 counting only the distinct ones).

The product of its digits is 194400, while the sum is 43.

The square root of 96513856 is about 9824.1465787110. The cubic root of 96513856 is about 458.7012135207.

The spelling of 96513856 in words is "ninety-six million, five hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 149 232 298 349 464 596 698 928 1192 1396 1856 2384 2792 4321 4768 5584 8642 9536 10121 11168 17284 20242 22336 34568 40484 52001 69136 80968 104002 138272 161936 208004 276544 323872 416008 647744 832016 1508029 1664032 3016058 3328064 6032116 12064232 24128464 48256928 96513856