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79429056 = 2637113523
BaseRepresentation
bin1001011101111…
…11110111000000
312112110102011220
410232333313000
5130313212211
611514235040
71653064410
oct456776700
9175412156
1079429056
1140921253
1222725a80
13135c0555
14a798640
156e8e806
hex4bbfdc0

79429056 has 112 divisors (see below), whose sum is σ = 242767104. Its totient is φ = 22450176.

The previous prime is 79429043. The next prime is 79429061. The reversal of 79429056 is 65092497.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×794290562 = 12617949874102272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 79428999 and 79429017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151611 + ... + 152133.

Almost surely, 279429056 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 79429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121383552).

79429056 is an abundant number, since it is smaller than the sum of its proper divisors (163338048).

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

79429056 is a wasteful number, since it uses less digits than its factorization.

79429056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 79429056 is about 8912.2980201517. The cubic root of 79429056 is about 429.8594384632.

The spelling of 79429056 in words is "seventy-nine million, four hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 168 192 224 226 336 339 448 452 523 672 678 791 904 1046 1344 1356 1569 1582 1808 2092 2373 2712 3138 3164 3616 3661 4184 4746 5424 6276 6328 7232 7322 8368 9492 10848 10983 12552 12656 14644 16736 18984 21696 21966 25104 25312 29288 33472 37968 43932 50208 50624 58576 59099 75936 87864 100416 117152 118198 151872 175728 177297 234304 236396 351456 354594 413693 472792 702912 709188 827386 945584 1241079 1418376 1654772 1891168 2482158 2836752 3309544 3782336 4964316 5673504 6619088 9928632 11347008 13238176 19857264 26476352 39714528 79429056