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97916384 = 25712607
BaseRepresentation
bin1011101011000…
…01010111100000
320211020200000202
411311201113200
5200031311014
613414404332
72266163336
oct565412740
9224220022
1097916384
11502a9035
12289606a8
13173942b7
14d00bb56
1588e23de
hex5d615e0

97916384 has 36 divisors (see below), whose sum is σ = 195848352. Its totient is φ = 48189120.

The previous prime is 97916353. The next prime is 97916389. The reversal of 97916384 is 48361979.

It is a super-3 number, since 3×979163843 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97916389) 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 5 ways as a sum of consecutive naturals, for example, 161009 + ... + 161615.

It is an arithmetic number, because the mean of its divisors is an integer number (5440232).

Almost surely, 297916384 is an apocalyptic number.

It is an amenable number.

97916384 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

97916384 is an equidigital number, since it uses as much as digits as its factorization.

97916384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 680 counting only the distinct ones).

The product of its digits is 326592, while the sum is 47.

The square root of 97916384 is about 9895.2707896247. The cubic root of 97916384 is about 460.9124673235.

The spelling of 97916384 in words is "ninety-seven million, nine hundred sixteen thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 71 142 284 568 607 1136 1214 2272 2428 4856 5041 9712 10082 19424 20164 40328 43097 80656 86194 161312 172388 344776 689552 1379104 3059887 6119774 12239548 24479096 48958192 97916384