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18859344 = 243737241
BaseRepresentation
bin100011111110…
…0010101010000
31022111011011020
41013330111100
514311444334
61512115440
7316205340
oct107742520
938434136
1018859344
11a711339
126395b80
133ba419a
14270cd20
1519c7e49
hex11fc550

18859344 has 120 divisors (see below), whose sum is σ = 58621248. Its totient is φ = 5114880.

The previous prime is 18859339. The next prime is 18859349. The reversal of 18859344 is 44395881.

It is an interprime number because it is at equal distance from previous prime (18859339) and next prime (18859349).

It is a super-2 number, since 2×188593442 = 711349712220672, which contains 22 as substring.

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

Its product of digits (138240) is a multiple of the sum of its prime divisors (90).

It is a junction number, because it is equal to n+sod(n) for n = 18859296 and 18859305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18859349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459964 + ... + 460004.

Almost surely, 218859344 is an apocalyptic number.

18859344 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 18859344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29310624).

18859344 is an abundant number, since it is smaller than the sum of its proper divisors (39761904).

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

18859344 is a wasteful number, since it uses less digits than its factorization.

18859344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 18859344 is about 4342.7346223319. The cubic root of 18859344 is about 266.1800653899.

The spelling of 18859344 in words is "eighteen million, eight hundred fifty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 41 42 48 56 74 82 84 111 112 123 148 164 168 222 246 259 287 296 328 336 444 492 518 574 592 656 777 861 888 984 1036 1148 1369 1517 1554 1722 1776 1968 2072 2296 2738 3034 3108 3444 4107 4144 4551 4592 5476 6068 6216 6888 8214 9102 9583 10619 10952 12136 12432 13776 16428 18204 19166 21238 21904 24272 28749 31857 32856 36408 38332 42476 56129 57498 63714 65712 72816 76664 84952 112258 114996 127428 153328 168387 169904 224516 229992 254856 336774 392903 449032 459984 509712 673548 785806 898064 1178709 1347096 1571612 2357418 2694192 3143224 4714836 6286448 9429672 18859344