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625428096 = 27317149643
BaseRepresentation
bin100101010001110…
…100011010000000
31121120212001001120
4211101310122000
52240102144341
6142021032240
721333023346
oct4521643200
91546761046
10625428096
112a1046427
12155555680
139c75c8c7
145d0c5996
1539d92066
hex25474680

625428096 has 128 divisors (see below), whose sum is σ = 1773576000. Its totient is φ = 194592768.

The previous prime is 625428091. The next prime is 625428127. The reversal of 625428096 is 690824526.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (625428091) 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, 972351 + ... + 972993.

Almost surely, 2625428096 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 625428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886788000).

625428096 is an abundant number, since it is smaller than the sum of its proper divisors (1148147904).

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

625428096 is a wasteful number, since it uses less digits than its factorization.

625428096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 625428096 is about 25008.5604543724. The cubic root of 625428096 is about 855.1831378157.

The spelling of 625428096 in words is "six hundred twenty-five million, four hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 149 192 204 272 298 384 408 447 544 596 643 816 894 1088 1192 1286 1632 1788 1929 2176 2384 2533 2572 3264 3576 3858 4768 5066 5144 6528 7152 7599 7716 9536 10132 10288 10931 14304 15198 15432 19072 20264 20576 21862 28608 30396 30864 32793 40528 41152 43724 57216 60792 61728 65586 81056 82304 87448 95807 121584 123456 131172 162112 174896 191614 243168 246912 262344 287421 324224 349792 383228 486336 524688 574842 699584 766456 972672 1049376 1149684 1399168 1532912 1628719 2098752 2299368 3065824 3257438 4197504 4598736 4886157 6131648 6514876 9197472 9772314 12263296 13029752 18394944 19544628 26059504 36789888 39089256 52119008 78178512 104238016 156357024 208476032 312714048 625428096