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465034864 = 24717467523
BaseRepresentation
bin11011101101111…
…101111001110000
31012102001012220111
4123231331321300
51423022103424
6114051151104
714344505530
oct3355757160
91172035814
10465034864
11219555638
1210b8a5494
1375462178
1445a934c0
152ac5d194
hex1bb7de70

465034864 has 80 divisors (see below), whose sum is σ = 1094715648. Its totient is φ = 186817536.

The previous prime is 465034859. The next prime is 465034891. The reversal of 465034864 is 468430564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888907 + ... + 889429.

Almost surely, 2465034864 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 465034864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547357824).

465034864 is an abundant number, since it is smaller than the sum of its proper divisors (629680784).

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

465034864 is a wasteful number, since it uses less digits than its factorization.

465034864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 465034864 is about 21564.6670273390. The cubic root of 465034864 is about 774.7504511839.

The spelling of 465034864 in words is "four hundred sixty-five million, thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 467 476 523 934 952 1046 1868 1904 2092 3269 3661 3736 4184 6538 7322 7472 7939 8368 8891 13076 14644 15878 17782 26152 29288 31756 35564 52304 55573 58576 62237 63512 71128 111146 124474 127024 142256 222292 244241 248948 444584 488482 497896 889168 976964 995792 1709687 1953928 3419374 3907856 4152097 6838748 8304194 13677496 16608388 27354992 29064679 33216776 58129358 66433552 116258716 232517432 465034864