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640010048 = 2629615653
BaseRepresentation
bin100110001001011…
…100011101000000
31122121021212201212
4212021130131000
52302320310143
6143301345252
721600665336
oct4611343500
91577255655
10640010048
112a92a6027
1215a408228
13a2796b92
1460dddb56
153b2c2918
hex2625c740

640010048 has 56 divisors (see below), whose sum is σ = 1335587880. Its totient is φ = 303851520.

The previous prime is 640010017. The next prime is 640010051. The reversal of 640010048 is 840010046.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40347904 + 599662144 = 6352^2 + 24488^2 .

It is a super-2 number, since 2×6400100482 = 819225723081924608, which contains 22 as substring.

It is a congruent number.

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, 110390 + ... + 116042.

Almost surely, 2640010048 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 640010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667793940).

640010048 is an abundant number, since it is smaller than the sum of its proper divisors (695577832).

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

640010048 is a wasteful number, since it uses less digits than its factorization.

640010048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 640010048 is about 25298.4198716046. The cubic root of 640010048 is about 861.7783859391.

The spelling of 640010048 in words is "six hundred forty million, ten thousand, forty-eight".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 232 244 464 488 928 976 1769 1856 1952 3538 3904 5653 7076 11306 14152 22612 28304 45224 56608 90448 113216 163937 180896 327874 344833 361792 655748 689666 1311496 1379332 2622992 2758664 5245984 5517328 10000157 10491968 11034656 20000314 22069312 40000628 80001256 160002512 320005024 640010048