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625525840 = 24597149541
BaseRepresentation
bin100101010010001…
…100010001010000
31121121001000010201
4211102030101100
52240113311330
6142023104544
721333611332
oct4522142120
91547030121
10625525840
112a1102905
121555a2154
139c795244
145d10d452
1539db0eca
hex2548c450

625525840 has 80 divisors (see below), whose sum is σ = 1481936400. Its totient is φ = 245514240.

The previous prime is 625525819. The next prime is 625525841. The reversal of 625525840 is 48525526.

It can be written as a sum of positive squares in 8 ways, for example, as 80209936 + 545315904 = 8956^2 + 23352^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 625525840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625525841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155970 + ... + 1156510.

It is an arithmetic number, because the mean of its divisors is an integer number (18524205).

Almost surely, 2625525840 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 625525840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740968200).

625525840 is an abundant number, since it is smaller than the sum of its proper divisors (856410560).

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

625525840 is a wasteful number, since it uses less digits than its factorization.

625525840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The square root of 625525840 is about 25010.5145888684. The cubic root of 625525840 is about 855.2276857912.

The spelling of 625525840 in words is "six hundred twenty-five million, five hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 149 194 298 388 485 541 596 745 776 970 1082 1192 1490 1552 1940 2164 2384 2705 2980 3880 4328 5410 5960 7760 8656 10820 11920 14453 21640 28906 43280 52477 57812 72265 80609 104954 115624 144530 161218 209908 231248 262385 289060 322436 403045 419816 524770 578120 644872 806090 839632 1049540 1156240 1289744 1612180 2099080 3224360 4198160 6448720 7819073 15638146 31276292 39095365 62552584 78190730 125105168 156381460 312762920 625525840