Search a number
-
+
97979328 = 263356701
BaseRepresentation
bin1011101011100…
…00101111000000
320211100212101000
411311300233000
5200040314303
613420012000
72266545006
oct565605700
9224325330
1097979328
1150341357
1228991000
13173b6b45
14d026a76
158905da3
hex5d70bc0

97979328 has 56 divisors (see below), whose sum is σ = 288046160. Its totient is φ = 32659200.

The previous prime is 97979309. The next prime is 97979339. The reversal of 97979328 is 82397979.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26623 + ... + 30078.

Almost surely, 297979328 is an apocalyptic number.

It is an amenable number.

97979328 is an abundant number, since it is smaller than the sum of its proper divisors (190066832).

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

97979328 is a wasteful number, since it uses less digits than its factorization.

97979328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56722 (or 56706 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The square root of 97979328 is about 9898.4507878758. The cubic root of 97979328 is about 461.0112096000.

The spelling of 97979328 in words is "ninety-seven million, nine hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 56701 113402 170103 226804 340206 453608 510309 680412 907216 1020618 1360824 1530927 1814432 2041236 2721648 3061854 3628864 4082472 5443296 6123708 8164944 10886592 12247416 16329888 24494832 32659776 48989664 97979328