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464502016 = 28111731313
BaseRepresentation
bin11011101011111…
…011110100000000
31012101001010222101
4123223323310000
51422403031031
6114031520144
714340126166
oct3353736400
91171033871
10464502016
11219221270
1210b689054
1375306784
1445995236
152aba5361
hex1bafbd00

464502016 has 144 divisors (see below), whose sum is σ = 1109058048. Its totient is φ = 191692800.

The previous prime is 464502001. The next prime is 464502029. The reversal of 464502016 is 610205464.

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, 1483876 + ... + 1484188.

It is an arithmetic number, because the mean of its divisors is an integer number (7701792).

Almost surely, 2464502016 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 464502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554529024).

464502016 is an abundant number, since it is smaller than the sum of its proper divisors (644556032).

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

464502016 is a wasteful number, since it uses less digits than its factorization.

464502016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 464502016 is about 21552.3088322342. The cubic root of 464502016 is about 774.4544289317.

The spelling of 464502016 in words is "four hundred sixty-four million, five hundred two thousand, sixteen".

Divisors: 1 2 4 8 11 16 17 22 31 32 34 44 62 64 68 88 124 128 136 176 187 248 256 272 313 341 352 374 496 527 544 626 682 704 748 992 1054 1088 1252 1364 1408 1496 1984 2108 2176 2504 2728 2816 2992 3443 3968 4216 4352 5008 5321 5456 5797 5984 6886 7936 8432 9703 10016 10642 10912 11594 11968 13772 16864 19406 20032 21284 21824 23188 23936 27544 33728 38812 40064 42568 43648 46376 47872 55088 58531 67456 77624 80128 85136 87296 92752 106733 110176 117062 134912 155248 164951 170272 185504 213466 220352 234124 310496 329902 340544 371008 426932 440704 468248 620992 659804 681088 742016 853864 881408 936496 1241984 1319608 1362176 1484032 1707728 1814461 1872992 2483968 2639216 3415456 3628922 3745984 5278432 6830912 7257844 7491968 10556864 13661824 14515688 14983936 21113728 27323648 29031376 42227456 58062752 116125504 232251008 464502016