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382909752 = 233247113153
BaseRepresentation
bin10110110100101…
…011110100111000
3222200111211102200
4112310223310320
51241011103002
6101555030200
712326451651
oct2664536470
9880454380
10382909752
11187162845
12a829b360
1361439724
1438bd6528
1523939b1c
hex16d2bd38

382909752 has 48 divisors (see below), whose sum is σ = 1059121440. Its totient is φ = 124919808.

The previous prime is 382909693. The next prime is 382909771. The reversal of 382909752 is 257909283.

It is a junction number, because it is equal to n+sod(n) for n = 382909698 and 382909707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53193 + ... + 59960.

It is an arithmetic number, because the mean of its divisors is an integer number (22065030).

Almost surely, 2382909752 is an apocalyptic number.

It is an amenable number.

382909752 is an abundant number, since it is smaller than the sum of its proper divisors (676211688).

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

382909752 is a wasteful number, since it uses less digits than its factorization.

382909752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113212 (or 113205 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 382909752 is about 19568.0799262472. The cubic root of 382909752 is about 726.1596989484.

The spelling of 382909752 in words is "three hundred eighty-two million, nine hundred nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 113153 226306 339459 452612 678918 905224 1018377 1357836 2036754 2715672 4073508 5318191 8147016 10636382 15954573 21272764 31909146 42545528 47863719 63818292 95727438 127636584 191454876 382909752