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992571072 = 26323733079
BaseRepresentation
bin111011001010010…
…110111011000000
32120011200211112120
4323022112323000
54013044233242
6242254124240
733411500133
oct7312267300
92504624476
10992571072
1146a30a379
122384b0680
1312a83897c
1495b7621a
155c2151ec
hex3b296ec0

992571072 has 112 divisors (see below), whose sum is σ = 2778800640. Its totient is φ = 312035328.

The previous prime is 992571067. The next prime is 992571079. The reversal of 992571072 is 270175299.

992571072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (992571079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320829 + ... + 323907.

It is an arithmetic number, because the mean of its divisors is an integer number (24810720).

Almost surely, 2992571072 is an apocalyptic number.

992571072 is a gapful number since it is divisible by the number (92) 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 992571072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389400320).

992571072 is an abundant number, since it is smaller than the sum of its proper divisors (1786229568).

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

992571072 is a wasteful number, since it uses less digits than its factorization.

992571072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 992571072 is about 31505.0959687477. The cubic root of 992571072 is about 997.5175331244.

The spelling of 992571072 in words is "nine hundred ninety-two million, five hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 73 92 96 138 146 184 192 219 276 292 368 438 552 584 736 876 1104 1168 1472 1679 1752 2208 2336 3079 3358 3504 4416 4672 5037 6158 6716 7008 9237 10074 12316 13432 14016 18474 20148 24632 26864 36948 40296 49264 53728 70817 73896 80592 98528 107456 141634 147792 161184 197056 212451 224767 283268 295584 322368 424902 449534 566536 591168 674301 849804 899068 1133072 1348602 1699608 1798136 2266144 2697204 3399216 3596272 4532288 5169641 5394408 6798432 7192544 10339282 10788816 13596864 14385088 15508923 20678564 21577632 31017846 41357128 43155264 62035692 82714256 124071384 165428512 248142768 330857024 496285536 992571072