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992713992 = 2333110911223
BaseRepresentation
bin111011001010111…
…001110100001000
32120011222002120220
4323022321310020
54013113321432
6242301150040
733412633614
oct7312716410
92504862526
10992713992
1146a3a7796
1223855b320
1312a888a3a
1495bb2344
155c24272c
hex3b2b9d08

992713992 has 64 divisors (see below), whose sum is σ = 2566287360. Its totient is φ = 319675200.

The previous prime is 992713979. The next prime is 992714027. The reversal of 992713992 is 299317299.

It is a happy number.

992713992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 811093 + ... + 812315.

It is an arithmetic number, because the mean of its divisors is an integer number (40098240).

Almost surely, 2992713992 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 992713992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283143680).

992713992 is an abundant number, since it is smaller than the sum of its proper divisors (1573573368).

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

992713992 is a wasteful number, since it uses less digits than its factorization.

992713992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2350 counting only the distinct ones).

The product of its digits is 551124, while the sum is 51.

The square root of 992713992 is about 31507.3640915898. The cubic root of 992713992 is about 997.5654082398.

The spelling of 992713992 in words is "nine hundred ninety-two million, seven hundred thirteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1091 1223 2182 2446 3273 3669 4364 4892 6546 7338 8728 9784 13092 14676 26184 29352 33821 37913 67642 75826 101463 113739 135284 151652 202926 227478 270568 303304 405852 454956 811704 909912 1334293 2668586 4002879 5337172 8005758 10674344 16011516 32023032 41363083 82726166 124089249 165452332 248178498 330904664 496356996 992713992