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385532864 = 2631317613
BaseRepresentation
bin10110111110101…
…100001111000000
3222212110002122222
4112332230033000
51242144022424
6102131150212
712360655343
oct2676541700
9885402588
10385532864
11188694602
12a9145368
1361b47672
14392ba45a
1523ca6e5e
hex16fac3c0

385532864 has 56 divisors (see below), whose sum is σ = 793504128. Its totient is φ = 185656320.

The previous prime is 385532863. The next prime is 385532893. The reversal of 385532864 is 468235583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385532863) 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, 628622 + ... + 629234.

Almost surely, 2385532864 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 385532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396752064).

385532864 is an abundant number, since it is smaller than the sum of its proper divisors (407971264).

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

385532864 is a wasteful number, since it uses less digits than its factorization.

385532864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 963 counting only the distinct ones).

The product of its digits is 691200, while the sum is 44.

The square root of 385532864 is about 19634.9908072298. The cubic root of 385532864 is about 727.8141054160.

The spelling of 385532864 in words is "three hundred eighty-five million, five hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 317 496 613 634 992 1226 1268 1984 2452 2536 4904 5072 9808 9827 10144 19003 19616 19654 20288 38006 39232 39308 76012 78616 152024 157232 194321 304048 314464 388642 608096 628928 777284 1216192 1554568 3109136 6023951 6218272 12047902 12436544 24095804 48191608 96383216 192766432 385532864