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18293968 = 2471131479
BaseRepresentation
bin100010111001…
…0010011010000
31021102102121101
41011302103100
514140401333
61452034144
7311332120
oct105622320
937372541
1018293968
11a365590
126162954
133a36a44
142602c80
15191567d
hex11724d0

18293968 has 80 divisors (see below), whose sum is σ = 45711360. Its totient is φ = 6883200.

The previous prime is 18293939. The next prime is 18293971. The reversal of 18293968 is 86939281.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37953 + ... + 38431.

It is an arithmetic number, because the mean of its divisors is an integer number (571392).

Almost surely, 218293968 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 18293968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855680).

18293968 is an abundant number, since it is smaller than the sum of its proper divisors (27417392).

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

18293968 is a wasteful number, since it uses less digits than its factorization.

18293968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The square root of 18293968 is about 4277.1448420646. The cubic root of 18293968 is about 263.4931352157.

The spelling of 18293968 in words is "eighteen million, two hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 308 341 434 479 496 616 682 868 958 1232 1364 1736 1916 2387 2728 3353 3472 3832 4774 5269 5456 6706 7664 9548 10538 13412 14849 19096 21076 26824 29698 36883 38192 42152 53648 59396 73766 84304 103943 118792 147532 163339 207886 237584 295064 326678 415772 590128 653356 831544 1143373 1306712 1663088 2286746 2613424 4573492 9146984 18293968