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420527939 = 13241137443
BaseRepresentation
bin11001000100001…
…011111101000011
31002022022000212212
4121010023331003
51330123343224
6105421212335
713264266656
oct3104137503
91068260785
10420527939
111a6416957
12b8a010ab
136917b100
143dbc989d
1526dbad0e
hex1910bf43

420527939 has 24 divisors (see below), whose sum is σ = 470936592. Its totient is φ = 375098880.

The previous prime is 420527923. The next prime is 420527951. The reversal of 420527939 is 939725024.

It is not a de Polignac number, because 420527939 - 24 = 420527923 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420527896 and 420527905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420527999) 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, 949052 + ... + 949494.

It is an arithmetic number, because the mean of its divisors is an integer number (19622358).

Almost surely, 2420527939 is an apocalyptic number.

420527939 is a deficient number, since it is larger than the sum of its proper divisors (50408653).

420527939 is a wasteful number, since it uses less digits than its factorization.

420527939 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 420527939 is about 20506.7778795207. Note that the first 3 decimals coincide. The cubic root of 420527939 is about 749.2008904974.

The spelling of 420527939 in words is "four hundred twenty million, five hundred twenty-seven thousand, nine hundred thirty-nine".

Divisors: 1 13 41 137 169 443 533 1781 5617 5759 6929 18163 23153 60691 73021 74867 236119 788983 949273 2488331 3069547 10256779 32348303 420527939