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382835988 = 2232172311187
BaseRepresentation
bin10110110100011…
…001110100010100
3222200101002020200
4112310121310110
51241001222423
6101553300500
712326023623
oct2664316424
9880332220
10382835988
11187112387
12a8264730
1361411c92
1438bb76ba
1523922d43
hex16d19d14

382835988 has 108 divisors (see below), whose sum is σ = 1062052992. Its totient is φ = 116133120.

The previous prime is 382835969. The next prime is 382836037. The reversal of 382835988 is 889538283.

It is a super-2 number, since 2×3828359882 = 293126787415872288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 321931 + ... + 323117.

It is an arithmetic number, because the mean of its divisors is an integer number (9833824).

Almost surely, 2382835988 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 382835988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531026496).

382835988 is an abundant number, since it is smaller than the sum of its proper divisors (679217004).

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

382835988 is a wasteful number, since it uses less digits than its factorization.

382835988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1240 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 382835988 is about 19566.1950312267. The cubic root of 382835988 is about 726.1130666513.

The spelling of 382835988 in words is "three hundred eighty-two million, eight hundred thirty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 289 306 372 527 558 578 612 867 1054 1116 1156 1187 1581 1734 2108 2374 2601 3162 3468 3561 4743 4748 5202 6324 7122 8959 9486 10404 10683 14244 17918 18972 20179 21366 26877 35836 36797 40358 42732 53754 60537 73594 80631 80716 107508 110391 121074 147188 161262 181611 220782 242148 322524 331173 343043 363222 441564 625549 662346 686086 726444 1029129 1251098 1324692 1372172 1876647 2058258 2502196 3087387 3753294 4116516 5629941 6174774 7506588 10634333 11259882 12349548 21268666 22519764 31902999 42537332 63805998 95708997 127611996 191417994 382835988