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382688832 = 2635337607
BaseRepresentation
bin10110110011110…
…101111001000000
3222200002121101110
4112303311321000
51240432020312
6101550203320
712324541611
oct2663657100
9880077343
10382688832
11187021869
12a81b3540
136138ccc6
1438b79c08
15238e443c
hex16cf5e40

382688832 has 56 divisors (see below), whose sum is σ = 1031662656. Its totient is φ = 125152768.

The previous prime is 382688827. The next prime is 382688833. The reversal of 382688832 is 238886283.

382688832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (382688833) 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, 8628 + ... + 28979.

Almost surely, 2382688832 is an apocalyptic number.

382688832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

382688832 is an abundant number, since it is smaller than the sum of its proper divisors (648973824).

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

382688832 is a wasteful number, since it uses less digits than its factorization.

382688832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37675 (or 37665 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 382688832 is about 19562.4342043622. The cubic root of 382688832 is about 726.0200193312.

The spelling of 382688832 in words is "three hundred eighty-two million, six hundred eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 2544 3392 5088 10176 37607 75214 112821 150428 225642 300856 451284 601712 902568 1203424 1805136 1993171 2406848 3610272 3986342 5979513 7220544 7972684 11959026 15945368 23918052 31890736 47836104 63781472 95672208 127562944 191344416 382688832