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18859968 = 2632137239
BaseRepresentation
bin100011111110…
…0011111000000
31022111012000100
41013330133000
514312004333
61512122400
7316210221
oct107743700
938435010
1018859968
11a711856
126396400
133ba455a
14270d248
1519c8213
hex11fc7c0

18859968 has 84 divisors (see below), whose sum is σ = 54681120. Its totient is φ = 6214656.

The previous prime is 18859963. The next prime is 18859979. The reversal of 18859968 is 86995881.

It is a super-2 number, since 2×188599682 = 711396785922048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18859961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78793 + ... + 79031.

Almost surely, 218859968 is an apocalyptic number.

18859968 is a gapful number since it is divisible by the number (18) 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 18859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27340560).

18859968 is an abundant number, since it is smaller than the sum of its proper divisors (35821152).

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

18859968 is a wasteful number, since it uses less digits than its factorization.

18859968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 381 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The square root of 18859968 is about 4342.8064658697. The cubic root of 18859968 is about 266.1830010616.

The spelling of 18859968 in words is "eighteen million, eight hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 137 144 192 239 274 288 411 478 548 576 717 822 956 1096 1233 1434 1644 1912 2151 2192 2466 2868 3288 3824 4302 4384 4932 5736 6576 7648 8604 8768 9864 11472 13152 15296 17208 19728 22944 26304 32743 34416 39456 45888 65486 68832 78912 98229 130972 137664 196458 261944 294687 392916 523888 589374 785832 1047776 1178748 1571664 2095552 2357496 3143328 4714992 6286656 9429984 18859968