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468557684 = 22731717603
BaseRepresentation
bin11011111011011…
…001111101110100
31012122200012022022
4123323121331310
51424422321214
6114254452312
714416450250
oct3373317564
91178605268
10468557684
11220541361
12110b04098
13760c678a
144632d260
152b206d8e
hex1bed9f74

468557684 has 48 divisors (see below), whose sum is σ = 981098496. Its totient is φ = 191570400.

The previous prime is 468557647. The next prime is 468557699. The reversal of 468557684 is 486755864.

It is a happy number.

It is the 71-st Perrin number.

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, 57827 + ... + 65429.

It is an arithmetic number, because the mean of its divisors is an integer number (20439552).

Almost surely, 2468557684 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 468557684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490549248).

468557684 is an abundant number, since it is smaller than the sum of its proper divisors (512540812).

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

468557684 is a wasteful number, since it uses less digits than its factorization.

468557684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7716 (or 7714 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 53.

The square root of 468557684 is about 21646.1932912002. The cubic root of 468557684 is about 776.7018771964.

The spelling of 468557684 in words is "four hundred sixty-eight million, five hundred fifty-seven thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 31 62 71 124 142 217 284 434 497 868 994 1988 2201 4402 7603 8804 15206 15407 30412 30814 53221 61628 106442 212884 235693 471386 539813 942772 1079626 1649851 2159252 3299702 3778691 6599404 7557382 15114764 16734203 33468406 66936812 117139421 234278842 468557684