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379744992 = 253211119869
BaseRepresentation
bin10110101000100…
…111001011100000
3222110120001012100
4112220213023200
51234203314432
6101403130400
712260531154
oct2650471340
9873501170
10379744992
111853a1040
12a7213a00
136089c0a3
1438611064
152351207c
hex16a272e0

379744992 has 72 divisors (see below), whose sum is σ = 1178082360. Its totient is φ = 115073280.

The previous prime is 379744969. The next prime is 379745029. The reversal of 379744992 is 299447973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 56767 + ... + 63102.

It is an arithmetic number, because the mean of its divisors is an integer number (16362255).

Almost surely, 2379744992 is an apocalyptic number.

379744992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

379744992 is an abundant number, since it is smaller than the sum of its proper divisors (798337368).

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

379744992 is a wasteful number, since it uses less digits than its factorization.

379744992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119896 (or 119885 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 379744992 is about 19487.0467747168. The cubic root of 379744992 is about 724.1535850315.

The spelling of 379744992 in words is "three hundred seventy-nine million, seven hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 119869 239738 359607 479476 719214 958952 1078821 1318559 1438428 1917904 2157642 2637118 2876856 3835808 3955677 4315284 5274236 5753712 7911354 8630568 10548472 11507424 11867031 15822708 17261136 21096944 23734062 31645416 34522272 42193888 47468124 63290832 94936248 126581664 189872496 379744992