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420938125 = 54612181
BaseRepresentation
bin11001000101110…
…000000110001101
31002100001212112221
4121011300012031
51330230010000
6105434055341
713300625566
oct3105600615
91070055487
10420938125
111a6677053
12b8b7a551
1369292a1a
143dc9516d
1526e4c61a
hex1917018d

420938125 has 30 divisors (see below), whose sum is σ = 537723186. Its totient is φ = 329400000.

The previous prime is 420938123. The next prime is 420938129. The reversal of 420938125 is 521839024.

It can be written as a sum of positive squares in 15 ways, for example, as 189502756 + 231435369 = 13766^2 + 15213^2 .

It is not a de Polignac number, because 420938125 - 21 = 420938123 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420938123) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2325535 + ... + 2325715.

Almost surely, 2420938125 is an apocalyptic number.

It is an amenable number.

420938125 is a deficient number, since it is larger than the sum of its proper divisors (116785061).

420938125 is an frugal number, since it uses more digits than its factorization.

420938125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 420938125 is about 20516.7766717874. The cubic root of 420938125 is about 749.4444033329. Note that the first 4 decimals are identical.

The spelling of 420938125 in words is "four hundred twenty million, nine hundred thirty-eight thousand, one hundred twenty-five".

Divisors: 1 5 25 61 125 181 305 625 905 1525 3721 4525 7625 11041 18605 22625 38125 55205 93025 113125 276025 465125 673501 1380125 2325625 3367505 6900625 16837525 84187625 420938125