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468021664 = 25112357809
BaseRepresentation
bin11011111001010…
…111000110100000
31012121122222000201
4123321113012200
51424303143124
6114235154544
714412055435
oct3371270640
91177588021
10468021664
11220205670
121108a5a54
1375c697c6
144622db8c
152b14d144
hex1be571a0

468021664 has 48 divisors (see below), whose sum is σ = 1048904640. Its totient is φ = 203484160.

The previous prime is 468021647. The next prime is 468021677. The reversal of 468021664 is 466120864.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20809 + ... + 37000.

It is an arithmetic number, because the mean of its divisors is an integer number (21852180).

Almost surely, 2468021664 is an apocalyptic number.

468021664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

468021664 is an abundant number, since it is smaller than the sum of its proper divisors (580882976).

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

468021664 is a wasteful number, since it uses less digits than its factorization.

468021664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57853 (or 57845 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 468021664 is about 21633.8083563667. The cubic root of 468021664 is about 776.4055873890.

The spelling of 468021664 in words is "four hundred sixty-eight million, twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 57809 115618 231236 462472 635899 924944 1271798 1329607 1849888 2543596 2659214 5087192 5318428 10174384 10636856 14625677 20348768 21273712 29251354 42547424 58502708 117005416 234010832 468021664