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382540932 = 223210626137
BaseRepresentation
bin10110110011010…
…001110010000100
3222122211002111200
4112303101302010
51240412302212
6101543102500
712323354454
oct2663216204
9878732450
10382540932
11186a30734
12a8141a30
136133a8a7
1438b3bd64
15238b56dc
hex16cd1c84

382540932 has 18 divisors (see below), whose sum is σ = 966978558. Its totient is φ = 127513632.

The previous prime is 382540931. The next prime is 382540969. The reversal of 382540932 is 239045283.

382540932 is a `hidden beast` number, since 3 + 82 + 540 + 9 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 351337536 + 31203396 = 18744^2 + 5586^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 10626137 = 382540932 / (3 + 8 + 2 + 5 + 4 + 0 + 9 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (382540931) 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 5 ways as a sum of consecutive naturals, for example, 5313033 + ... + 5313104.

It is an arithmetic number, because the mean of its divisors is an integer number (53721031).

Almost surely, 2382540932 is an apocalyptic number.

It is an amenable number.

382540932 is an abundant number, since it is smaller than the sum of its proper divisors (584437626).

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

382540932 is a wasteful number, since it uses less digits than its factorization.

382540932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10626147 (or 10626142 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 382540932 is about 19558.6536346447. The cubic root of 382540932 is about 725.9264775397.

The spelling of 382540932 in words is "three hundred eighty-two million, five hundred forty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 10626137 21252274 31878411 42504548 63756822 95635233 127513644 191270466 382540932