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379601952 = 2537950053
BaseRepresentation
bin10110101000000…
…100010000100000
3222110021202222120
4112220010100200
51234134230302
6101400104240
712256364142
oct2650042040
9873252876
10379601952
11185303624
12a7165080
136084bc52
14385b4c92
15234d49bc
hex16a04420

379601952 has 48 divisors (see below), whose sum is σ = 1009088640. Its totient is φ = 124929792.

The previous prime is 379601951. The next prime is 379601987. The reversal of 379601952 is 259106973.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (379601951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17443 + ... + 32610.

It is an arithmetic number, because the mean of its divisors is an integer number (21022680).

Almost surely, 2379601952 is an apocalyptic number.

379601952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

379601952 is an abundant number, since it is smaller than the sum of its proper divisors (629486688).

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

379601952 is a wasteful number, since it uses less digits than its factorization.

379601952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50145 (or 50137 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 379601952 is about 19483.3762987835. The cubic root of 379601952 is about 724.0626503786.

The spelling of 379601952 in words is "three hundred seventy-nine million, six hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 50053 100106 150159 200212 300318 400424 600636 800848 1201272 1601696 2402544 3954187 4805088 7908374 11862561 15816748 23725122 31633496 47450244 63266992 94900488 126533984 189800976 379601952