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19464144 = 2437531093
BaseRepresentation
bin100101000111…
…1111111010000
31100121212210020
41022033333100
514440323034
61533103440
7324304530
oct112177720
940555706
1019464144
11aa94777
126627b80
13405655b
1428294c0
151a97249
hex128ffd0

19464144 has 80 divisors (see below), whose sum is σ = 58603392. Its totient is φ = 5451264.

The previous prime is 19464143. The next prime is 19464161. The reversal of 19464144 is 44146491.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19464143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17262 + ... + 18354.

Almost surely, 219464144 is an apocalyptic number.

19464144 is a gapful number since it is divisible by the number (14) 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 19464144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29301696).

19464144 is an abundant number, since it is smaller than the sum of its proper divisors (39139248).

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

19464144 is a wasteful number, since it uses less digits than its factorization.

19464144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1158 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 19464144 is about 4411.8186726111. The cubic root of 19464144 is about 268.9955546222.

The spelling of 19464144 in words is "nineteen million, four hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1093 1113 1272 1484 2186 2226 2544 2968 3279 4372 4452 5936 6558 7651 8744 8904 13116 15302 17488 17808 22953 26232 30604 45906 52464 57929 61208 91812 115858 122416 173787 183624 231716 347574 367248 405503 463432 695148 811006 926864 1216509 1390296 1622012 2433018 2780592 3244024 4866036 6488048 9732072 19464144