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992345072 = 24195961907
BaseRepresentation
bin111011001001011…
…111101111110000
32120011021100112012
4323021133233300
54013020020242
6242245222052
733406536215
oct7311375760
92504240465
10992345072
1146a1755a4
12238401928
1312a789b44
1495b17b0c
155c1bd282
hex3b25fbf0

992345072 has 80 divisors (see below), whose sum is σ = 2094211200. Its totient is φ = 454014720.

The previous prime is 992344987. The next prime is 992345077. The reversal of 992345072 is 270543299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992345077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1093643 + ... + 1094549.

It is an arithmetic number, because the mean of its divisors is an integer number (26177640).

Almost surely, 2992345072 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 992345072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047105600).

992345072 is an abundant number, since it is smaller than the sum of its proper divisors (1101866128).

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

992345072 is a wasteful number, since it uses less digits than its factorization.

992345072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 992345072 is about 31501.5090432189. The cubic root of 992345072 is about 997.4418186219.

The spelling of 992345072 in words is "nine hundred ninety-two million, three hundred forty-five thousand, seventy-two".

Divisors: 1 2 4 8 16 19 38 59 61 76 118 122 152 236 244 304 472 488 907 944 976 1121 1159 1814 2242 2318 3599 3628 4484 4636 7198 7256 8968 9272 14396 14512 17233 17936 18544 28792 34466 53513 55327 57584 68381 68932 107026 110654 136762 137864 214052 221308 273524 275728 428104 442616 547048 856208 885232 1016747 1051213 1094096 2033494 2102426 3264293 4066988 4204852 6528586 8133976 8409704 13057172 16267952 16819408 26114344 52228688 62021567 124043134 248086268 496172536 992345072