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26625625 = 541329113
BaseRepresentation
bin110010110010…
…0011001011001
31212002201111021
41211210121121
523304010000
62350402441
7442212505
oct145443131
955081437
1026625625
1114036254
128b00421
135693110
143771305
15250e11a
hex1964659

26625625 has 40 divisors (see below), whose sum is σ = 37394280. Its totient is φ = 18816000.

The previous prime is 26625623. The next prime is 26625637. The reversal of 26625625 is 52652662.

26625625 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 20 ways, for example, as 22581504 + 4044121 = 4752^2 + 2011^2 .

It is not a de Polignac number, because 26625625 - 21 = 26625623 is a prime.

Its product of digits (43200) is a multiple of the sum of its prime divisors (160).

It is not an unprimeable number, because it can be changed into a prime (26625623) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235569 + ... + 235681.

It is an arithmetic number, because the mean of its divisors is an integer number (934857).

Almost surely, 226625625 is an apocalyptic number.

26625625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26625625 is a deficient number, since it is larger than the sum of its proper divisors (10768655).

26625625 is a wasteful number, since it uses less digits than its factorization.

26625625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

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

The square root of 26625625 is about 5160.0024224801. The cubic root of 26625625 is about 298.6069674725.

It can be divided in two parts, 266256 and 25, that multiplied together give a square (6656400 = 25802).

The spelling of 26625625 in words is "twenty-six million, six hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 13 25 29 65 113 125 145 325 377 565 625 725 1469 1625 1885 2825 3277 3625 7345 8125 9425 14125 16385 18125 36725 42601 47125 70625 81925 183625 213005 235625 409625 918125 1065025 2048125 5325125 26625625