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468562086 = 232317111827
BaseRepresentation
bin11011111011011…
…011000010100110
31012122200102100100
4123323123002212
51424422441321
6114254524530
714416466136
oct3373330246
91178612310
10468562086
112205446a3
12110b06746
13760c8795
1446330ac6
152b208326
hex1bedb0a6

468562086 has 48 divisors (see below), whose sum is σ = 1062816768. Its totient is φ = 149007600.

The previous prime is 468562069. The next prime is 468562103. The reversal of 468562086 is 680265864.

468562086 is a `hidden beast` number, since 4 + 6 + 8 + 562 + 0 + 86 = 666.

It is an interprime number because it is at equal distance from previous prime (468562069) and next prime (468562103).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33705 + ... + 45531.

It is an arithmetic number, because the mean of its divisors is an integer number (22142016).

Almost surely, 2468562086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468562086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531408384).

468562086 is an abundant number, since it is smaller than the sum of its proper divisors (594254682).

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

468562086 is a wasteful number, since it uses less digits than its factorization.

468562086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11937 (or 11934 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 468562086 is about 21646.2949716574. The cubic root of 468562086 is about 776.7043095052.

The spelling of 468562086 in words is "four hundred sixty-eight million, five hundred sixty-two thousand, eighty-six".

Divisors: 1 2 3 6 9 18 31 62 71 93 142 186 213 279 426 558 639 1278 2201 4402 6603 11827 13206 19809 23654 35481 39618 70962 106443 212886 366637 733274 839717 1099911 1679434 2199822 2519151 3299733 5038302 6599466 7557453 15114906 26031227 52062454 78093681 156187362 234281043 468562086