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79720992 = 253213107199
BaseRepresentation
bin1001100000001…
…11001000100000
312120000020122100
410300013020200
5130402032432
611524410400
71655421501
oct460071040
9176006570
1079720992
114100061a
1222846a00
13136933b0
14a832ba8
156eeb07c
hex4c07220

79720992 has 144 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 24178176.

The previous prime is 79720969. The next prime is 79720997. The reversal of 79720992 is 29902797.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (79720997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400509 + ... + 400707.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 279720992 is an apocalyptic number.

79720992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79720992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

79720992 is an abundant number, since it is smaller than the sum of its proper divisors (167944608).

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

79720992 is a wasteful number, since it uses less digits than its factorization.

79720992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 79720992 is about 8928.6612658338. The cubic root of 79720992 is about 430.3854341104.

The spelling of 79720992 in words is "seventy-nine million, seven hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 107 117 144 156 199 208 214 234 288 312 321 398 416 428 468 597 624 642 796 856 936 963 1194 1248 1284 1391 1592 1712 1791 1872 1926 2388 2568 2587 2782 3184 3424 3582 3744 3852 4173 4776 5136 5174 5564 6368 7164 7704 7761 8346 9552 10272 10348 11128 12519 14328 15408 15522 16692 19104 20696 21293 22256 23283 25038 28656 30816 31044 33384 41392 42586 44512 46566 50076 57312 62088 63879 66768 82784 85172 93132 100152 124176 127758 133536 170344 186264 191637 200304 248352 255516 276809 340688 372528 383274 400608 511032 553618 681376 745056 766548 830427 1022064 1107236 1533096 1660854 2044128 2214472 2491281 3066192 3321708 4428944 4982562 6132384 6643416 8857888 9965124 13286832 19930248 26573664 39860496 79720992