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18499840 = 28597149
BaseRepresentation
bin100011010010…
…0100100000000
31021210220000021
41012210210000
514213443330
61500303224
7313150252
oct106444400
937726007
1018499840
11a496227
126241b14
133aa9668
142657cd2
15195667a
hex11a4900

18499840 has 72 divisors (see below), whose sum is σ = 45070200. Its totient is φ = 7274496.

The previous prime is 18499823. The next prime is 18499849. The reversal of 18499840 is 4899481.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 18386944 = 336^2 + 4288^2 .

It is not an unprimeable number, because it can be changed into a prime (18499849) 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, 124086 + ... + 124234.

It is an arithmetic number, because the mean of its divisors is an integer number (625975).

Almost surely, 218499840 is an apocalyptic number.

18499840 is a gapful number since it is divisible by the number (10) 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 18499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22535100).

18499840 is an abundant number, since it is smaller than the sum of its proper divisors (26570360).

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

18499840 is an equidigital number, since it uses as much as digits as its factorization.

18499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 18499840 is about 4301.1440338589. The cubic root of 18499840 is about 264.4778611716.

The spelling of 18499840 in words is "eighteen million, four hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 149 160 194 256 298 320 388 485 596 640 745 776 970 1192 1280 1490 1552 1940 2384 2980 3104 3880 4768 5960 6208 7760 9536 11920 12416 14453 15520 19072 23840 24832 28906 31040 38144 47680 57812 62080 72265 95360 115624 124160 144530 190720 231248 289060 462496 578120 924992 1156240 1849984 2312480 3699968 4624960 9249920 18499840