Search a number
-
+
390182912 = 2117171601
BaseRepresentation
bin10111010000011…
…011100000000000
31000012012100022222
4113100123200000
51244341323122
6102414550212
712445333340
oct2720334000
91005170288
10390182912
11190280219
12aa808368
1362ab5082
1439b6ad20
15243c4b42
hex1741b800

390182912 has 96 divisors (see below), whose sum is σ = 944667360. Its totient is φ = 157286400.

The previous prime is 390182899. The next prime is 390182921. The reversal of 390182912 is 219281093.

It is a congruent number.

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, 242912 + ... + 244512.

It is an arithmetic number, because the mean of its divisors is an integer number (9840285).

Almost surely, 2390182912 is an apocalyptic number.

390182912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390182912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472333680).

390182912 is an abundant number, since it is smaller than the sum of its proper divisors (554484448).

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

390182912 is a wasteful number, since it uses less digits than its factorization.

390182912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 390182912 is about 19753.0481698395. The cubic root of 390182912 is about 730.7285601810.

The spelling of 390182912 in words is "three hundred ninety million, one hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 896 952 1024 1088 1601 1792 1904 2048 2176 3202 3584 3808 4352 6404 7168 7616 8704 11207 12808 14336 15232 17408 22414 25616 27217 30464 34816 44828 51232 54434 60928 89656 102464 108868 121856 179312 190519 204928 217736 243712 358624 381038 409856 435472 717248 762076 819712 870944 1434496 1524152 1639424 1741888 2868992 3048304 3278848 3483776 5737984 6096608 6967552 11475968 12193216 13935104 22951936 24386432 27870208 48772864 55740416 97545728 195091456 390182912