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18490752 = 273272293
BaseRepresentation
bin100011010001…
…0010110000000
31021210102112200
41012202112000
514213201002
61500153200
7313111620
oct106422600
937712480
1018490752
11a48a415
126238800
133aa5497
142654880
151953b1c
hex11a2580

18490752 has 96 divisors (see below), whose sum is σ = 60836880. Its totient is φ = 5280768.

The previous prime is 18490733. The next prime is 18490757. The reversal of 18490752 is 25709481.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18490757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6918 + ... + 9210.

Almost surely, 218490752 is an apocalyptic number.

18490752 is a gapful number since it is divisible by the number (12) 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 18490752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30418440).

18490752 is an abundant number, since it is smaller than the sum of its proper divisors (42346128).

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

18490752 is a wasteful number, since it uses less digits than its factorization.

18490752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 18490752 is about 4300.0874409714. The cubic root of 18490752 is about 264.4345460494.

The spelling of 18490752 in words is "eighteen million, four hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2293 2688 4032 4586 6879 8064 9172 13758 16051 18344 20637 27516 32102 36688 41274 48153 55032 64204 73376 82548 96306 110064 128408 144459 146752 165096 192612 220128 256816 288918 293504 330192 385224 440256 513632 577836 660384 770448 880512 1027264 1155672 1320768 1540896 2054528 2311344 2641536 3081792 4622688 6163584 9245376 18490752