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420052524 = 2231714231447
BaseRepresentation
bin11001000010010…
…111111000101100
31002021101212201220
4121002113320230
51330013140044
6105403103340
713260246633
oct3102277054
91067355656
10420052524
111a6121751
12b8811b50
13690428b8
143db0451a
1526d25019
hex19097e2c

420052524 has 48 divisors (see below), whose sum is σ = 1039223808. Its totient is φ = 131597568.

The previous prime is 420052517. The next prime is 420052553. The reversal of 420052524 is 425250024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 420052494 and 420052503.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289569 + ... + 291015.

It is an arithmetic number, because the mean of its divisors is an integer number (21650496).

Almost surely, 2420052524 is an apocalyptic number.

It is an amenable number.

420052524 is an abundant number, since it is smaller than the sum of its proper divisors (619171284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420052524 is a wasteful number, since it uses less digits than its factorization.

420052524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 420052524 is about 20495.1829462437. The cubic root of 420052524 is about 748.9184553201.

The spelling of 420052524 in words is "four hundred twenty million, fifty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 1423 1447 2846 2894 4269 4341 5692 5788 8538 8682 17076 17364 24191 24599 48382 49198 72573 73797 96764 98396 145146 147594 290292 295188 2059081 4118162 6177243 8236324 12354486 24708972 35004377 70008754 105013131 140017508 210026262 420052524