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19014144 = 29312379
BaseRepresentation
bin100100010001…
…0001000000000
31022210000111120
41020202020000
514331423034
61515312240
7320421552
oct110421000
938700446
1019014144
11a807676
12644b680
133c29796
14274d4d2
151a08c49
hex1222200

19014144 has 40 divisors (see below), whose sum is σ = 50658960. Its totient is φ = 6337536.

The previous prime is 19014139. The next prime is 19014157. The reversal of 19014144 is 44141091.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4654 + ... + 7725.

It is an arithmetic number, because the mean of its divisors is an integer number (1266474).

Almost surely, 219014144 is an apocalyptic number.

It is an amenable number.

19014144 is an abundant number, since it is smaller than the sum of its proper divisors (31644816).

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

19014144 is an equidigital number, since it uses as much as digits as its factorization.

19014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12400 (or 12384 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 19014144 is about 4360.5210697805. The cubic root of 19014144 is about 266.9063622608.

The spelling of 19014144 in words is "nineteen million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 12379 24758 37137 49516 74274 99032 148548 198064 297096 396128 594192 792256 1188384 1584512 2376768 3169024 4753536 6338048 9507072 19014144