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468542466 = 232713727143
BaseRepresentation
bin11011111011010…
…110010000000010
31012122122102102200
4123323112100002
51424421324331
6114254254030
714416355010
oct3373262002
91178572380
10468542466
11220530987
12110ab7316
13760bc882
14463278b0
152b2025e6
hex1bed6402

468542466 has 48 divisors (see below), whose sum is σ = 1168712064. Its totient is φ = 132887232.

The previous prime is 468542447. The next prime is 468542471. The reversal of 468542466 is 664245864.

468542466 is a `hidden beast` number, since 4 + 68 + 542 + 46 + 6 = 666.

It is a super-2 number, since 2×4685424662 = 439064084890722312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3691 + ... + 30833.

It is an arithmetic number, because the mean of its divisors is an integer number (24348168).

Almost surely, 2468542466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468542466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584356032).

468542466 is an abundant number, since it is smaller than the sum of its proper divisors (700169598).

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

468542466 is a wasteful number, since it uses less digits than its factorization.

468542466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27295 (or 27292 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 468542466 is about 21645.8417715736. The cubic root of 468542466 is about 776.6934684294.

The spelling of 468542466 in words is "four hundred sixty-eight million, five hundred forty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 274 411 822 959 1233 1918 2466 2877 5754 8631 17262 27143 54286 81429 162858 190001 244287 380002 488574 570003 1140006 1710009 3420018 3718591 7437182 11155773 22311546 26030137 33467319 52060274 66934638 78090411 156180822 234271233 468542466