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19142656 = 21113719
BaseRepresentation
bin100100100000…
…1100000000000
31100000112210021
41021001200000
514400031111
61522143224
7321465331
oct111014000
940015707
1019142656
11a895185
1264b1b14
133c73120
142784288
151a31d71
hex1241800

19142656 has 48 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 8822784.

The previous prime is 19142603. The next prime is 19142701. The reversal of 19142656 is 65624191.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26265 + ... + 26983.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 219142656 is an apocalyptic number.

19142656 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 19142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

19142656 is an abundant number, since it is smaller than the sum of its proper divisors (22134944).

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

19142656 is an equidigital number, since it uses as much as digits as its factorization.

19142656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 734 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 19142656 is about 4375.2321081287. The cubic root of 19142656 is about 267.5063311164.

The spelling of 19142656 in words is "nineteen million, one hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 719 832 1024 1438 1664 2048 2876 3328 5752 6656 9347 11504 13312 18694 23008 26624 37388 46016 74776 92032 149552 184064 299104 368128 598208 736256 1196416 1472512 2392832 4785664 9571328 19142656