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19931856 = 2437137433
BaseRepresentation
bin100110000001…
…0001011010000
31101111122100220
41030002023100
520100304411
61551113040
7331263240
oct114021320
941448326
1019931856
111028410a
126812780
13418b3c9
14290bb20
151b3ab06
hex13022d0

19931856 has 80 divisors (see below), whose sum is σ = 59412864. Its totient is φ = 5640192.

The previous prime is 19931843. The next prime is 19931887. The reversal of 19931856 is 65813991.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 45816 + ... + 46248.

Almost surely, 219931856 is an apocalyptic number.

19931856 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 19931856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29706432).

19931856 is an abundant number, since it is smaller than the sum of its proper divisors (39481008).

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

19931856 is a wasteful number, since it uses less digits than its factorization.

19931856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its digits is 58320, while the sum is 42.

The square root of 19931856 is about 4464.5107234724. The cubic root of 19931856 is about 271.1331254084.

The spelling of 19931856 in words is "nineteen million, nine hundred thirty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 137 168 274 336 411 433 548 822 866 959 1096 1299 1644 1732 1918 2192 2598 2877 3031 3288 3464 3836 5196 5754 6062 6576 6928 7672 9093 10392 11508 12124 15344 18186 20784 23016 24248 36372 46032 48496 59321 72744 118642 145488 177963 237284 355926 415247 474568 711852 830494 949136 1245741 1423704 1660988 2491482 2847408 3321976 4982964 6643952 9965928 19931856