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625296320 = 26511349509
BaseRepresentation
bin100101010001010…
…100001111000000
31121120121100021222
4211101110033000
52240033440240
6142014134212
721331634225
oct4521241700
91546540258
10625296320
112a0a66420
121554b1368
139c71492c
145d08d94c
1539d67eb5
hex254543c0

625296320 has 112 divisors (see below), whose sum is σ = 1632204000. Its totient is φ = 226283520.

The previous prime is 625296313. The next prime is 625296323. The reversal of 625296320 is 23692526.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625296323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228226 + ... + 1228734.

It is an arithmetic number, because the mean of its divisors is an integer number (14573250).

Almost surely, 2625296320 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 625296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816102000).

625296320 is an abundant number, since it is smaller than the sum of its proper divisors (1006907680).

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

625296320 is a wasteful number, since it uses less digits than its factorization.

625296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 625296320 is about 25005.9256977221. The cubic root of 625296320 is about 855.1230720093.

The spelling of 625296320 in words is "six hundred twenty-five million, two hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 349 352 440 509 698 704 880 1018 1396 1745 1760 2036 2545 2792 3490 3520 3839 4072 5090 5584 5599 6980 7678 8144 10180 11168 11198 13960 15356 16288 19195 20360 22336 22396 27920 27995 30712 32576 38390 40720 44792 55840 55990 61424 76780 81440 89584 111680 111980 122848 153560 162880 177641 179168 223960 245696 307120 355282 358336 447920 614240 710564 888205 895840 1228480 1421128 1776410 1791680 1954051 2842256 3552820 3908102 5684512 7105640 7816204 9770255 11369024 14211280 15632408 19540510 28422560 31264816 39081020 56845120 62529632 78162040 125059264 156324080 312648160 625296320