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382639488 = 27371112941
BaseRepresentation
bin10110110011101…
…001110110000000
3222200000002200220
4112303221312000
51240423430423
6101545143040
712324245010
oct2663516600
9880002626
10382639488
11186a98790
12a818aa80
13613736ca
1438b65c40
15238d49e3
hex16ce9d80

382639488 has 128 divisors (see below), whose sum is σ = 1267280640. Its totient is φ = 99379200.

The previous prime is 382639471. The next prime is 382639507. The reversal of 382639488 is 884936283.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 382639488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23098 + ... + 36038.

It is an arithmetic number, because the mean of its divisors is an integer number (9900630).

Almost surely, 2382639488 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 382639488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633640320).

382639488 is an abundant number, since it is smaller than the sum of its proper divisors (884641152).

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

382639488 is a wasteful number, since it uses less digits than its factorization.

382639488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12976 (or 12964 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 382639488 is about 19561.1729709647. The cubic root of 382639488 is about 725.9888135850.

The spelling of 382639488 in words is "three hundred eighty-two million, six hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4928 7392 9856 12941 14784 25882 29568 38823 51764 77646 90587 103528 142351 155292 181174 207056 271761 284702 310584 362348 414112 427053 543522 569404 621168 724696 828224 854106 996457 1087044 1138808 1242336 1449392 1656448 1708212 1992914 2174088 2277616 2484672 2898784 2989371 3416424 3985828 4348176 4555232 4969344 5797568 5978742 6832848 7971656 8696352 9110464 11595136 11957484 13665696 15943312 17392704 18220928 23914968 27331392 31886624 34785408 47829936 54662784 63773248 95659872 127546496 191319744 382639488