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425390625 = 3258112
BaseRepresentation
bin11001010110101…
…111001000100001
31002122110002020100
4121112233020201
51332400000000
6110113333013
713353521622
oct3126571041
91078402210
10425390625
111a9138300
12ba567169
136a19153a
14406d3a49
152752ba00
hex195af221

425390625 has 81 divisors (see below), whose sum is σ = 844237849. Its totient is φ = 206250000.

The previous prime is 425390611. The next prime is 425390627. The reversal of 425390625 is 526093524.

The square root of 425390625 is 20625.

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

425390625 is a `hidden beast` number, since 4 + 25 + 3 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 302446881 + 122943744 = 17391^2 + 11088^2 .

It is not a de Polignac number, because 425390625 - 25 = 425390593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 425390625.

It is not an unprimeable number, because it can be changed into a prime (425390627) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 38671870 + ... + 38671880.

Almost surely, 2425390625 is an apocalyptic number.

425390625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

425390625 is the 20625-th square number.

425390625 is the 10313-rd centered octagonal number.

It is an amenable number.

425390625 is a deficient number, since it is larger than the sum of its proper divisors (418847224).

425390625 is an frugal number, since it uses more digits than its factorization.

425390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The cubic root of 425390625 is about 752.0775729402.

Multiplying 425390625 by its sum of digits (36), we get a square (15314062500 = 1237502).

The spelling of 425390625 in words is "four hundred twenty-five million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 125 165 225 275 363 375 495 605 625 825 1089 1125 1375 1815 1875 2475 3025 3125 4125 5445 5625 6875 9075 9375 12375 15125 15625 20625 27225 28125 34375 45375 46875 61875 75625 78125 103125 136125 140625 171875 226875 234375 309375 378125 390625 515625 680625 703125 859375 1134375 1171875 1546875 1890625 2578125 3403125 3515625 4296875 5671875 7734375 9453125 12890625 17015625 28359375 38671875 47265625 85078125 141796875 425390625