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428020464 = 24370912577
BaseRepresentation
bin11001100000110…
…001001011110000
31002211101200200210
4121200301023300
51334033123324
6110245544120
713415054034
oct3140611360
91084350623
10428020464
111aa674123
12bb415040
136a8a2561
1440bba1c4
152789ad29
hex198312f0

428020464 has 40 divisors (see below), whose sum is σ = 1107367120. Its totient is φ = 142460928.

The previous prime is 428020427. The next prime is 428020471. The reversal of 428020464 is 464020824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27744 + ... + 40320.

It is an arithmetic number, because the mean of its divisors is an integer number (27684178).

Almost surely, 2428020464 is an apocalyptic number.

It is an amenable number.

428020464 is an abundant number, since it is smaller than the sum of its proper divisors (679346656).

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

428020464 is a wasteful number, since it uses less digits than its factorization.

428020464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13297 (or 13291 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 428020464 is about 20688.6554420533. The cubic root of 428020464 is about 753.6242149891.

The spelling of 428020464 in words is "four hundred twenty-eight million, twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 709 1418 2127 2836 4254 5672 8508 11344 12577 17016 25154 34032 37731 50308 75462 100616 150924 201232 301848 603696 8917093 17834186 26751279 35668372 53502558 71336744 107005116 142673488 214010232 428020464