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469344816 = 243229167673
BaseRepresentation
bin11011111110011…
…010001000110000
31012201011012001100
4123332122020300
51430123013231
6114323404400
714426236143
oct3376321060
91181135040
10469344816
11220a29786
12111223700
1376310b35
144649605a
152b3101e6
hex1bf9a230

469344816 has 120 divisors (see below), whose sum is σ = 1368974880. Its totient is φ = 149925888.

The previous prime is 469344791. The next prime is 469344833. The reversal of 469344816 is 618443964.

It is a nude number because it is divisible by every one of its digits.

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, 697056 + ... + 697728.

It is an arithmetic number, because the mean of its divisors is an integer number (11408124).

Almost surely, 2469344816 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 469344816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684487440).

469344816 is an abundant number, since it is smaller than the sum of its proper divisors (899630064).

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

469344816 is a wasteful number, since it uses less digits than its factorization.

469344816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 874 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 469344816 is about 21664.3674267217. The cubic root of 469344816 is about 777.1365621143.

The spelling of 469344816 in words is "four hundred sixty-nine million, three hundred forty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 167 174 232 261 334 348 464 501 522 668 673 696 1002 1044 1336 1346 1392 1503 2004 2019 2088 2672 2692 3006 4008 4038 4176 4843 5384 6012 6057 8016 8076 9686 10768 12024 12114 14529 16152 19372 19517 24048 24228 29058 32304 38744 39034 43587 48456 58116 58551 77488 78068 87174 96912 112391 116232 117102 156136 174348 175653 224782 232464 234204 312272 337173 348696 351306 449564 468408 674346 697392 702612 899128 936816 1011519 1348692 1405224 1798256 2023038 2697384 2810448 3259339 4046076 5394768 6518678 8092152 9778017 13037356 16184304 19556034 26074712 29334051 39112068 52149424 58668102 78224136 117336204 156448272 234672408 469344816