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19928256 = 263271383
BaseRepresentation
bin100110000000…
…1010011000000
31101111110102120
41030001103000
520100201011
61551044240
7331246605
oct114012300
941443376
1019928256
1110281437
126810680
13418988a
14290a6ac
151b39a06
hex13014c0

19928256 has 56 divisors (see below), whose sum is σ = 53059584. Its totient is φ = 6600960.

The previous prime is 19928243. The next prime is 19928261. The reversal of 19928256 is 65282991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51841 + ... + 52223.

Almost surely, 219928256 is an apocalyptic number.

19928256 is a gapful number since it is divisible by the number (16) 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 19928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26529792).

19928256 is an abundant number, since it is smaller than the sum of its proper divisors (33131328).

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

19928256 is a wasteful number, since it uses less digits than its factorization.

19928256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 659 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 19928256 is about 4464.1075255867. The cubic root of 19928256 is about 271.1168008202.

The spelling of 19928256 in words is "nineteen million, nine hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 271 383 542 766 813 1084 1149 1532 1626 2168 2298 3064 3252 4336 4596 6128 6504 8672 9192 12256 13008 17344 18384 24512 26016 36768 52032 73536 103793 207586 311379 415172 622758 830344 1245516 1660688 2491032 3321376 4982064 6642752 9964128 19928256