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379750272 = 273113743
BaseRepresentation
bin10110101000101…
…000011110000000
3222110120022102220
4112220220132000
51234204002042
6101403211040
712260552436
oct2650503600
9873508386
10379750272
111853a5000
12a7216a80
13608a1605
1438612d56
15235138ec
hex16a28780

379750272 has 128 divisors (see below), whose sum is σ = 1111000320. Its totient is φ = 114920960.

The previous prime is 379750219. The next prime is 379750289. The reversal of 379750272 is 272057973.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510733 + ... + 511475.

It is an arithmetic number, because the mean of its divisors is an integer number (8679690).

Almost surely, 2379750272 is an apocalyptic number.

379750272 is a gapful number since it is divisible by the number (32) 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 379750272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555500160).

379750272 is an abundant number, since it is smaller than the sum of its proper divisors (731250048).

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

379750272 is an equidigital number, since it uses as much as digits as its factorization.

379750272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 42.

The square root of 379750272 is about 19487.1822488527. The cubic root of 379750272 is about 724.1569412427.

The spelling of 379750272 in words is "three hundred seventy-nine million, seven hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 743 968 1056 1331 1408 1452 1486 1936 2112 2229 2662 2904 2972 3872 3993 4224 4458 5324 5808 5944 7744 7986 8173 8916 10648 11616 11888 15488 15972 16346 17832 21296 23232 23776 24519 31944 32692 35664 42592 46464 47552 49038 63888 65384 71328 85184 89903 95104 98076 127776 130768 142656 170368 179806 196152 255552 261536 269709 285312 359612 392304 511104 523072 539418 719224 784608 988933 1046144 1078836 1438448 1569216 1977866 2157672 2876896 2966799 3138432 3955732 4315344 5753792 5933598 7911464 8630688 11507584 11867196 15822928 17261376 23734392 31645856 34522752 47468784 63291712 94937568 126583424 189875136 379750272