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79966368 = 25321716333
BaseRepresentation
bin1001100010000…
…11000010100000
312120110201020100
410301003002200
5130432410433
611533542400
71660463046
oct461030240
9176421210
1079966368
1141158a09
1222944a00
131374aca1
14a898396
157048b13
hex4c430a0

79966368 has 72 divisors (see below), whose sum is σ = 240795828. Its totient is φ = 25085952.

The previous prime is 79966357. The next prime is 79966387. The reversal of 79966368 is 86366997.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 79067664 + 898704 = 8892^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×799663682 = 12789240022222848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3271 + ... + 13062.

Almost surely, 279966368 is an apocalyptic number.

It is an amenable number.

79966368 is an abundant number, since it is smaller than the sum of its proper divisors (160829460).

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

79966368 is a wasteful number, since it uses less digits than its factorization.

79966368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16366 (or 16355 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 79966368 is about 8942.3916264051. The cubic root of 79966368 is about 430.8265479200.

The spelling of 79966368 in words is "seventy-nine million, nine hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 16333 32666 48999 65332 97998 130664 146997 195996 261328 277661 293994 391992 522656 555322 587988 783984 832983 1110644 1175976 1567968 1665966 2221288 2351952 2498949 3331932 4442576 4703904 4997898 6663864 8885152 9995796 13327728 19991592 26655456 39983184 79966368