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382273164 = 2232713116689
BaseRepresentation
bin10110110010010…
…000011010001100
3222122022111012100
4112302100122030
51240330220124
6101533235100
712321161010
oct2662203214
9878274170
10382273164
11186868539
12a8032a90
1361275a50
1438aac540
15238611c9
hex16c9068c

382273164 has 72 divisors (see below), whose sum is σ = 1189304480. Its totient is φ = 100818432.

The previous prime is 382273163. The next prime is 382273189. The reversal of 382273164 is 461372283.

It is a happy number.

382273164 is a `hidden beast` number, since 382 + 273 + 1 + 6 + 4 = 666.

It is a super-2 number, since 2×3822731642 = 292265543829141792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (382273163) 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, 55069 + ... + 61620.

Almost surely, 2382273164 is an apocalyptic number.

It is an amenable number.

382273164 is an abundant number, since it is smaller than the sum of its proper divisors (807031316).

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

382273164 is a wasteful number, since it uses less digits than its factorization.

382273164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116719 (or 116714 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 382273164 is about 19551.8071799003. The cubic root of 382273164 is about 725.7570618982.

The spelling of 382273164 in words is "three hundred eighty-two million, two hundred seventy-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 116689 233378 350067 466756 700134 816823 1050201 1400268 1516957 1633646 2100402 2450469 3033914 3267292 4200804 4550871 4900938 6067828 7351407 9101742 9801876 10618699 13652613 14702814 18203484 21237398 27305226 29405628 31856097 42474796 54610452 63712194 95568291 127424388 191136582 382273164