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79470144 = 26321310613
BaseRepresentation
bin1001011110010…
…01111001000000
312112112111112200
410233021321000
5130321021034
611515153200
71653325245
oct457117100
9175474480
1079470144
114094a106
1222745800
1313606170
14a7a95cc
156e9ba99
hex4bc9e40

79470144 has 84 divisors (see below), whose sum is σ = 245331996. Its totient is φ = 24450048.

The previous prime is 79470137. The next prime is 79470163. The reversal of 79470144 is 44107497.

It can be written as a sum of positive squares in 2 ways, for example, as 53582400 + 25887744 = 7320^2 + 5088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 79470099 and 79470108.

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, 2182 + ... + 12794.

It is an arithmetic number, because the mean of its divisors is an integer number (2920619).

Almost surely, 279470144 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 79470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122665998).

79470144 is an abundant number, since it is smaller than the sum of its proper divisors (165861852).

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

79470144 is a wasteful number, since it uses less digits than its factorization.

79470144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10644 (or 10631 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 79470144 is about 8914.6028515016. The cubic root of 79470144 is about 429.9335466082.

The spelling of 79470144 in words is "seventy-nine million, four hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 10613 21226 31839 42452 63678 84904 95517 127356 137969 169808 191034 254712 275938 339616 382068 413907 509424 551876 679232 764136 827814 1018848 1103752 1241721 1528272 1655628 2037696 2207504 2483442 3056544 3311256 4415008 4966884 6113088 6622512 8830016 9933768 13245024 19867536 26490048 39735072 79470144