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19014944 = 2513431063
BaseRepresentation
bin100100010001…
…0010100100000
31022210001121012
41020202110200
514331434234
61515320052
7320424104
oct110422440
938701535
1019014944
11a808233
126450028
133c29c60
14274d904
151a090ce
hex1222520

19014944 has 48 divisors (see below), whose sum is σ = 41291712. Its totient is φ = 8563968.

The previous prime is 19014943. The next prime is 19014979. The reversal of 19014944 is 44941091.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 19014944.

It is not an unprimeable number, because it can be changed into a prime (19014943) by changing a digit.

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, 17357 + ... + 18419.

It is an arithmetic number, because the mean of its divisors is an integer number (860244).

Almost surely, 219014944 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 19014944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20645856).

19014944 is an abundant number, since it is smaller than the sum of its proper divisors (22276768).

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

19014944 is a wasteful number, since it uses less digits than its factorization.

19014944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 19014944 is about 4360.6128009719. The cubic root of 19014944 is about 266.9101054760.

The spelling of 19014944 in words is "nineteen million, fourteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 416 559 688 1063 1118 1376 2126 2236 4252 4472 8504 8944 13819 17008 17888 27638 34016 45709 55276 91418 110552 182836 221104 365672 442208 594217 731344 1188434 1462688 2376868 4753736 9507472 19014944