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382965444 = 2232193118061
BaseRepresentation
bin10110110100111…
…001011011000100
3222200121122211100
4112310321123010
51241014343234
6102000140100
712330103221
oct2664713304
9880548740
10382965444
111871a0674
12a8307630
1361458b94
1438c0c948
152394b399
hex16d396c4

382965444 has 72 divisors (see below), whose sum is σ = 1051930880. Its totient is φ = 117028800.

The previous prime is 382965431. The next prime is 382965449. The reversal of 382965444 is 444569283.

It is a self number, because there is not a number n which added to its sum of digits gives 382965444.

It is not an unprimeable number, because it can be changed into a prime (382965449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12174 + ... + 30234.

Almost surely, 2382965444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382965444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525965440).

382965444 is an abundant number, since it is smaller than the sum of its proper divisors (668965436).

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

382965444 is a wasteful number, since it uses less digits than its factorization.

382965444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18121 (or 18116 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 382965444 is about 19569.5029063081. The cubic root of 382965444 is about 726.1949024789.

The spelling of 382965444 in words is "three hundred eighty-two million, nine hundred sixty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 558 589 684 1116 1178 1767 2356 3534 5301 7068 10602 18061 21204 36122 54183 72244 108366 162549 216732 325098 343159 559891 650196 686318 1029477 1119782 1372636 1679673 2058954 2239564 3088431 3359346 4117908 5039019 6176862 6718692 10078038 10637929 12353724 20156076 21275858 31913787 42551716 63827574 95741361 127655148 191482722 382965444