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19944768 = 263731423
BaseRepresentation
bin100110000010…
…1010101000000
31101112022002010
41030011111000
520101213033
61551252520
7331346004
oct114052500
941468063
1019944768
1110292888
12681a140
13419424c
142912704
151b3e863
hex1305540

19944768 has 56 divisors (see below), whose sum is σ = 53531008. Its totient is φ = 6552576.

The previous prime is 19944763. The next prime is 19944797. The reversal of 19944768 is 86744991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19944763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13305 + ... + 14727.

Almost surely, 219944768 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 19944768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26765504).

19944768 is an abundant number, since it is smaller than the sum of its proper divisors (33586240).

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

19944768 is a wasteful number, since it uses less digits than its factorization.

19944768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1501 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 19944768 is about 4465.9565604694. The cubic root of 19944768 is about 271.1916601015.

The spelling of 19944768 in words is "nineteen million, nine hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1423 1752 2336 2846 3504 4269 4672 5692 7008 8538 11384 14016 17076 22768 34152 45536 68304 91072 103879 136608 207758 273216 311637 415516 623274 831032 1246548 1662064 2493096 3324128 4986192 6648256 9972384 19944768