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42663888 = 2433611619
BaseRepresentation
bin1010001010111…
…1111111010000
32222021112212000
42202233333100
541410221023
64122234000
71025431341
oct242577720
988245760
1042663888
11220a0013
1212355900
138aba207
1459480c8
153b2b243
hex28affd0

42663888 has 80 divisors (see below), whose sum is σ = 124545600. Its totient is φ = 13979520.

The previous prime is 42663877. The next prime is 42663899. The reversal of 42663888 is 88836624.

It is a happy number.

42663888 is a `hidden beast` number, since 4 + 2 + 6 + 638 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (42663877) and next prime (42663899).

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 15 ways as a sum of consecutive naturals, for example, 25543 + ... + 27161.

It is an arithmetic number, because the mean of its divisors is an integer number (1556820).

Almost surely, 242663888 is an apocalyptic number.

42663888 is a gapful number since it is divisible by the number (48) 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 42663888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62272800).

42663888 is an abundant number, since it is smaller than the sum of its proper divisors (81881712).

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

42663888 is a wasteful number, since it uses less digits than its factorization.

42663888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1685 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 42663888 is about 6531.7599465994. The cubic root of 42663888 is about 349.4246001395.

The spelling of 42663888 in words is "forty-two million, six hundred sixty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1619 1647 2196 2928 3238 3294 4392 4857 6476 6588 8784 9714 12952 13176 14571 19428 25904 26352 29142 38856 43713 58284 77712 87426 98759 116568 174852 197518 233136 296277 349704 395036 592554 699408 790072 888831 1185108 1580144 1777662 2370216 2666493 3555324 4740432 5332986 7110648 10665972 14221296 21331944 42663888