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79985376 = 25321931439
BaseRepresentation
bin1001100010001…
…11101011100000
312120111200022100
410301013223200
5130434013001
611534210400
71660602342
oct461075340
9176450270
1079985376
1141171219
1222953a00
1313756833
14a8a1292
15704e586
hex4c47ae0

79985376 has 72 divisors (see below), whose sum is σ = 228795840. Its totient is φ = 26505216.

The previous prime is 79985359. The next prime is 79985419. The reversal of 79985376 is 67358997.

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

It is a super-2 number, since 2×799853762 = 12795320747722752, which contains 22 as substring.

It is a congruent number.

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, 54865 + ... + 56303.

It is an arithmetic number, because the mean of its divisors is an integer number (3177720).

Almost surely, 279985376 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 79985376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114397920).

79985376 is an abundant number, since it is smaller than the sum of its proper divisors (148810464).

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

79985376 is a wasteful number, since it uses less digits than its factorization.

79985376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1637 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 79985376 is about 8943.4543661831. The cubic root of 79985376 is about 430.8606810290.

The spelling of 79985376 in words is "seventy-nine million, nine hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 193 288 386 579 772 1158 1439 1544 1737 2316 2878 3088 3474 4317 4632 5756 6176 6948 8634 9264 11512 12951 13896 17268 18528 23024 25902 27792 34536 46048 51804 55584 69072 103608 138144 207216 277727 414432 555454 833181 1110908 1666362 2221816 2499543 3332724 4443632 4999086 6665448 8887264 9998172 13330896 19996344 26661792 39992688 79985376