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18294984 = 23363137
BaseRepresentation
bin100010111001…
…0100011001000
31021102111000000
41011302203020
514140414414
61452043000
7311335101
oct105624310
937374000
1018294984
11a366324
126163460
133a37346
1426033a8
151915b09
hex11728c8

18294984 has 56 divisors (see below), whose sum is σ = 51447510. Its totient is φ = 6096384.

The previous prime is 18294977. The next prime is 18295001. The reversal of 18294984 is 48949281.

It can be written as a sum of positive squares in only one way, i.e., 9474084 + 8820900 = 3078^2 + 2970^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4264 + ... + 7400.

Almost surely, 218294984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18294984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25723755).

18294984 is an abundant number, since it is smaller than the sum of its proper divisors (33152526).

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

18294984 is an equidigital number, since it uses as much as digits as its factorization.

18294984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3142 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 18294984 is about 4277.2636112356. The cubic root of 18294984 is about 263.4980130361.

The spelling of 18294984 in words is "eighteen million, two hundred ninety-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 3137 5832 6274 9411 12548 18822 25096 28233 37644 56466 75288 84699 112932 169398 225864 254097 338796 508194 677592 762291 1016388 1524582 2032776 2286873 3049164 4573746 6098328 9147492 18294984