Search a number
-
+
626250625 = 5472112132
BaseRepresentation
bin100101010100111…
…101001110000001
31121122101211100121
4211110331032001
52240310010000
6142050420241
721343020400
oct4524751601
91548354317
10626250625
112a1558400
12155891681
139c98a100
145d25b637
1539ea5b1a
hex2553d381

626250625 has 135 divisors (see below), whose sum is σ = 1083499263. Its totient is φ = 360360000.

The previous prime is 626250619. The next prime is 626250629. The reversal of 626250625 is 526052626.

The square root of 626250625 is 25025.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 618566641 + 7683984 = 24871^2 + 2772^2 .

It is not a de Polignac number, because 626250625 - 213 = 626242433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (626250629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 48173119 + ... + 48173131.

Almost surely, 2626250625 is an apocalyptic number.

626250625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

626250625 is the 25025-th square number.

626250625 is the 12513-rd centered octagonal number.

It is an amenable number.

626250625 is a deficient number, since it is larger than the sum of its proper divisors (457248638).

626250625 is a wasteful number, since it uses less digits than its factorization.

626250625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The cubic root of 626250625 is about 855.5578703641.

The spelling of 626250625 in words is "six hundred twenty-six million, two hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 49 55 65 77 91 121 125 143 169 175 245 275 325 385 455 539 605 625 637 715 845 847 875 1001 1183 1225 1375 1573 1625 1859 1925 2275 2695 3025 3185 3575 4225 4235 4375 5005 5915 5929 6125 6875 7007 7865 8125 8281 9295 9625 11011 11375 13013 13475 15125 15925 17875 20449 21125 21175 25025 29575 29645 30625 35035 39325 41405 46475 48125 55055 56875 65065 67375 75625 77077 79625 89375 91091 102245 105625 105875 125125 143143 147875 148225 175175 196625 207025 232375 275275 325325 336875 385385 398125 455455 511225 529375 625625 715715 739375 741125 875875 983125 1002001 1035125 1161875 1376375 1626625 1926925 2277275 2556125 3578575 3705625 4379375 5010005 5175625 6881875 8133125 9634625 11386375 12780625 17892875 25050025 48173125 56931875 89464375 125250125 626250625