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97016816 = 2413235879
BaseRepresentation
bin1011100100001…
…01101111110000
320202112222001102
411302011233300
5144314014231
613343223532
72255425601
oct562055760
9222488042
1097016816
114a844196
12285a7ba8
131713aa00
14cc55da8
1587b5acb
hex5c85bf0

97016816 has 30 divisors (see below), whose sum is σ = 203547240. Its totient is φ = 44775744.

The previous prime is 97016809. The next prime is 97016837. The reversal of 97016816 is 61861079.

It is a super-3 number, since 3×970168163 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 97016816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15236 + ... + 20643.

It is an arithmetic number, because the mean of its divisors is an integer number (6784908).

Almost surely, 297016816 is an apocalyptic number.

It is an amenable number.

97016816 is an abundant number, since it is smaller than the sum of its proper divisors (106530424).

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

97016816 is a wasteful number, since it uses less digits than its factorization.

97016816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35913 (or 35894 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 97016816 is about 9849.7114678553. The cubic root of 97016816 is about 459.4966390577.

The spelling of 97016816 in words is "ninety-seven million, sixteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 35879 71758 143516 287032 466427 574064 932854 1865708 3731416 6063551 7462832 12127102 24254204 48508408 97016816