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428579437 = 11132415623
BaseRepresentation
bin11001100010111…
…001101001101101
31002212110002110111
4121202321221231
51334204020222
6110305540021
713422602506
oct3142715155
91085402414
10428579437
111aaa16090
12bb644611
136aa39b00
1440cc3bad
152795b777
hex198b9a6d

428579437 has 24 divisors (see below), whose sum is σ = 518712768. Its totient is φ = 350812800.

The previous prime is 428579387. The next prime is 428579441. The reversal of 428579437 is 734975824.

It is a happy number.

It is not a de Polignac number, because 428579437 - 215 = 428546669 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 (428579477) 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, 73408 + ... + 79030.

It is an arithmetic number, because the mean of its divisors is an integer number (21613032).

Almost surely, 2428579437 is an apocalyptic number.

It is an amenable number.

428579437 is a deficient number, since it is larger than the sum of its proper divisors (90133331).

428579437 is a wasteful number, since it uses less digits than its factorization.

428579437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5701 (or 5688 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 49.

The square root of 428579437 is about 20702.1602012930. The cubic root of 428579437 is about 753.9521372710.

The spelling of 428579437 in words is "four hundred twenty-eight million, five hundred seventy-nine thousand, four hundred thirty-seven".

Divisors: 1 11 13 41 143 169 451 533 1859 5623 5863 6929 61853 73099 76219 230543 804089 950287 2535973 2997059 10453157 32967649 38961767 428579437