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382135296 = 2103196547
BaseRepresentation
bin10110110001101…
…110110000000000
3222122001111002010
4112301232300000
51240311312141
6101530252520
712320045034
oct2661566000
9878044063
10382135296
111867839a4
12a7b87140
136122807a
1438a741c4
1523835416
hex16c6ec00

382135296 has 88 divisors (see below), whose sum is σ = 1072300480. Its totient is φ = 120655872.

The previous prime is 382135289. The next prime is 382135309. The reversal of 382135296 is 692531283.

382135296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55095 + ... + 61641.

Almost surely, 2382135296 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 382135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536150240).

382135296 is an abundant number, since it is smaller than the sum of its proper divisors (690165184).

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

382135296 is a wasteful number, since it uses less digits than its factorization.

382135296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6571 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 382135296 is about 19548.2811520604. The cubic root of 382135296 is about 725.6698025635.

The spelling of 382135296 in words is "three hundred eighty-two million, one hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 4864 6547 7296 9728 13094 14592 19456 19641 26188 29184 39282 52376 58368 78564 104752 124393 157128 209504 248786 314256 373179 419008 497572 628512 746358 838016 995144 1257024 1492716 1676032 1990288 2514048 2985432 3352064 3980576 5028096 5970864 6704128 7961152 10056192 11941728 15922304 20112384 23883456 31844608 47766912 63689216 95533824 127378432 191067648 382135296