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79699104 = 25321272179
BaseRepresentation
bin1001100000000…
…01110010100000
312112222010121200
410300001302200
5130400332404
611524121200
71655300622
oct460016240
9175863550
1079699104
1140a96131
1222836200
1313686444
14a828c12
156ee4839
hex4c01ca0

79699104 has 72 divisors (see below), whose sum is σ = 228533760. Its totient is φ = 26345088.

The previous prime is 79699097. The next prime is 79699141. The reversal of 79699104 is 40199697.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 79699104.

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, 35487 + ... + 37665.

It is an arithmetic number, because the mean of its divisors is an integer number (3174080).

Almost surely, 279699104 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 79699104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114266880).

79699104 is an abundant number, since it is smaller than the sum of its proper divisors (148834656).

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

79699104 is a wasteful number, since it uses less digits than its factorization.

79699104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 79699104 is about 8927.4354660227. The cubic root of 79699104 is about 430.3460419821.

The spelling of 79699104 in words is "seventy-nine million, six hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1524 2032 2179 2286 3048 4064 4358 4572 6096 6537 8716 9144 12192 13074 17432 18288 19611 26148 34864 36576 39222 52296 69728 78444 104592 156888 209184 276733 313776 553466 627552 830199 1106932 1660398 2213864 2490597 3320796 4427728 4981194 6641592 8855456 9962388 13283184 19924776 26566368 39849552 79699104