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382655016 = 233721871
BaseRepresentation
bin10110110011101…
…101101000101000
3222200000220000000
4112303231220220
51240424430031
6101545343000
712324341202
oct2663555050
9880026000
10382655016
11186aa9417
12a8197a60
136137a7b3
1438b6b772
15238d93e6
hex16ceda28

382655016 has 64 divisors (see below), whose sum is σ = 1076102400. Its totient is φ = 127545840.

The previous prime is 382655011. The next prime is 382655017. The reversal of 382655016 is 610556283.

It is a super-2 number, since 2×3826550162 = 292849722539920512, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (382655011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6561 + ... + 28431.

It is an arithmetic number, because the mean of its divisors is an integer number (16814100).

Almost surely, 2382655016 is an apocalyptic number.

382655016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382655016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538051200).

382655016 is an abundant number, since it is smaller than the sum of its proper divisors (693447384).

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

382655016 is an equidigital number, since it uses as much as digits as its factorization.

382655016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21898 (or 21876 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 382655016 is about 19561.5698756516. The cubic root of 382655016 is about 725.9986339705.

The spelling of 382655016 in words is "three hundred eighty-two million, six hundred fifty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 17496 21871 43742 65613 87484 131226 174968 196839 262452 393678 524904 590517 787356 1181034 1574712 1771551 2362068 3543102 4724136 5314653 7086204 10629306 14172408 15943959 21258612 31887918 42517224 47831877 63775836 95663754 127551672 191327508 382655016