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625712864 = 25719791861
BaseRepresentation
bin100101010010111…
…001111011100000
31121121101111200112
4211102321323200
52240140302424
6142031110452
721335320520
oct4522717340
91547344615
10625712864
112a1220377
12155672428
139c82c3ca
145d15b680
1539deb60e
hex254b9ee0

625712864 has 96 divisors (see below), whose sum is σ = 1501516800. Its totient is φ = 250698240.

The previous prime is 625712831. The next prime is 625712873. The reversal of 625712864 is 468217526.

625712864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 335294 + ... + 337154.

It is an arithmetic number, because the mean of its divisors is an integer number (15640800).

Almost surely, 2625712864 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 625712864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750758400).

625712864 is an abundant number, since it is smaller than the sum of its proper divisors (875803936).

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

625712864 is a wasteful number, since it uses less digits than its factorization.

625712864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1968 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 625712864 is about 25014.2532169162. The cubic root of 625712864 is about 855.3129112417.

The spelling of 625712864 in words is "six hundred twenty-five million, seven hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 79 112 133 152 158 224 266 304 316 532 553 608 632 1064 1106 1264 1501 1861 2128 2212 2528 3002 3722 4256 4424 6004 7444 8848 10507 12008 13027 14888 17696 21014 24016 26054 29776 35359 42028 48032 52108 59552 70718 84056 104216 141436 147019 168112 208432 247513 282872 294038 336224 416864 495026 565744 588076 990052 1029133 1131488 1176152 1980104 2058266 2352304 2793361 3960208 4116532 4704608 5586722 7920416 8233064 11173444 16466128 19553527 22346888 32932256 39107054 44693776 78214108 89387552 156428216 312856432 625712864