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46268664 = 23313413617
BaseRepresentation
bin1011000010000…
…0000011111000
310020001200200020
42300200003320
543321044124
64331410440
71101164031
oct260400370
9106050606
1046268664
1124132372
12135b3a20
13977cc10
146205a88
1540de379
hex2c200f8

46268664 has 64 divisors (see below), whose sum is σ = 127643040. Its totient is φ = 13885440.

The previous prime is 46268653. The next prime is 46268671. The reversal of 46268664 is 46686264.

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

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, 10984 + ... + 14600.

Almost surely, 246268664 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 46268664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63821520).

46268664 is an abundant number, since it is smaller than the sum of its proper divisors (81374376).

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

46268664 is a wasteful number, since it uses less digits than its factorization.

46268664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3676 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 46268664 is about 6802.1073205294. The cubic root of 46268664 is about 359.0009957478. Note that the first 3 decimals are identical.

The spelling of 46268664 in words is "forty-six million, two hundred sixty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 3617 4264 6396 7234 10851 12792 14468 21702 28936 43404 47021 86808 94042 141063 148297 188084 282126 296594 376168 444891 564252 593188 889782 1128504 1186376 1779564 1927861 3559128 3855722 5783583 7711444 11567166 15422888 23134332 46268664