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379653937 = 13214915077
BaseRepresentation
bin10110101000010…
…000111100110001
3222110101102021221
4112220100330301
51234142411222
6101401145041
712260001535
oct2650207461
9873342257
10379653937
11185339693
12a718b181
1360869800
14385c9bc5
15234e50c7
hex16a10f31

379653937 has 12 divisors (see below), whose sum is σ = 413891100. Its totient is φ = 348074688.

The previous prime is 379653907. The next prime is 379653961. The reversal of 379653937 is 739356973.

It can be written as a sum of positive squares in 6 ways, for example, as 238424481 + 141229456 = 15441^2 + 11884^2 .

It is a de Polignac number, because none of the positive numbers 2k-379653937 is a prime.

It is a super-2 number, since 2×3796539372 = 288274223759199938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (379653907) by changing a digit.

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, 17643 + ... + 32719.

It is an arithmetic number, because the mean of its divisors is an integer number (34490925).

Almost surely, 2379653937 is an apocalyptic number.

It is an amenable number.

379653937 is a deficient number, since it is larger than the sum of its proper divisors (34237163).

379653937 is a wasteful number, since it uses less digits than its factorization.

379653937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15252 (or 15239 counting only the distinct ones).

The product of its digits is 3214890, while the sum is 52.

The square root of 379653937 is about 19484.7103391351. The cubic root of 379653937 is about 724.0957013842.

The spelling of 379653937 in words is "three hundred seventy-nine million, six hundred fifty-three thousand, nine hundred thirty-seven".

Divisors: 1 13 149 169 1937 15077 25181 196001 2246473 2548013 29204149 379653937