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420037825 = 5241478719
BaseRepresentation
bin11001000010010…
…100010011000001
31002021101010120111
4121002110103001
51330012202300
6105402511321
713260156034
oct3102242301
91067333514
10420037825
111a61116a9
12b8805541
1369038cbc
143dadd01b
1526d209ba
hex190944c1

420037825 has 24 divisors (see below), whose sum is σ = 544965120. Its totient is φ = 320822400.

The previous prime is 420037823. The next prime is 420037847. The reversal of 420037825 is 528730024.

It is not a de Polignac number, because 420037825 - 21 = 420037823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420037823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43816 + ... + 52534.

It is an arithmetic number, because the mean of its divisors is an integer number (22706880).

Almost surely, 2420037825 is an apocalyptic number.

It is an amenable number.

420037825 is a deficient number, since it is larger than the sum of its proper divisors (124927295).

420037825 is a wasteful number, since it uses less digits than its factorization.

420037825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8817 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 420037825 is about 20494.8243466491. The cubic root of 420037825 is about 748.9097195230.

Adding to 420037825 its reverse (528730024), we get a palindrome (948767849).

It can be divided in two parts, 4200 and 37825, that added together give a square (42025 = 2052).

The spelling of 420037825 in words is "four hundred twenty million, thirty-seven thousand, eight hundred twenty-five".

Divisors: 1 5 25 41 47 205 235 1025 1175 1927 8719 9635 43595 48175 217975 357479 409793 1787395 2048965 8936975 10244825 16801513 84007565 420037825