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96563016 = 233411192331
BaseRepresentation
bin1011100000101…
…10111101001000
320201200220120000
411300112331020
5144210004031
613325403000
72251525554
oct560267510
9221626500
1096563016
114a564250
1228409460
131700c2a4
14cb78864
1587263e6
hex5c16f48

96563016 has 320 divisors, whose sum is σ = 334540800. Its totient is φ = 25660800.

The previous prime is 96562981. The next prime is 96563017. The reversal of 96563016 is 61036569.

96563016 is a `hidden beast` number, since 9 + 6 + 5 + 630 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96563017) 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 79 ways as a sum of consecutive naturals, for example, 3114921 + ... + 3114951.

It is an arithmetic number, because the mean of its divisors is an integer number (1045440).

Almost surely, 296563016 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 96563016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167270400).

96563016 is an abundant number, since it is smaller than the sum of its proper divisors (237977784).

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

96563016 is a wasteful number, since it uses less digits than its factorization.

96563016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 96563016 is about 9826.6482586892. The cubic root of 96563016 is about 458.7790811798.

The spelling of 96563016 in words is "ninety-six million, five hundred sixty-three thousand, sixteen".