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1992364496 = 242941104729
BaseRepresentation
bin111011011000001…
…0001000111010000
312010211222121021122
41312300101013100
513040021130441
6525411141412
7100241550563
oct16660210720
95124877248
101992364496
11932701a31
124772a4868
13259a02b05
1414c86c4da
15b9da534b
hex76c111d0

1992364496 has 40 divisors (see below), whose sum is σ = 4090753800. Its totient is φ = 938362880.

The previous prime is 1992364477. The next prime is 1992364511. The reversal of 1992364496 is 6944632991.

It can be written as a sum of positive squares in 4 ways, for example, as 382750096 + 1609614400 = 19564^2 + 40120^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33341 + ... + 71388.

It is an arithmetic number, because the mean of its divisors is an integer number (102268845).

Almost surely, 21992364496 is an apocalyptic number.

1992364496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1992364496 is an abundant number, since it is smaller than the sum of its proper divisors (2098389304).

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

1992364496 is a wasteful number, since it uses less digits than its factorization.

1992364496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104807 (or 104801 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 53.

The square root of 1992364496 is about 44635.9103861454. The cubic root of 1992364496 is about 1258.3156497824.

The spelling of 1992364496 in words is "one billion, nine hundred ninety-two million, three hundred sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 328 464 656 1189 2378 4756 9512 19024 104729 209458 418916 837832 1675664 3037141 4293889 6074282 8587778 12148564 17175556 24297128 34351112 48594256 68702224 124522781 249045562 498091124 996182248 1992364496