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428415460 = 225117512593
BaseRepresentation
bin11001100010010…
…001100111100100
31002212010202112021
4121202101213210
51334133243320
6110302232524
713421320444
oct3142214744
91085122467
10428415460
111aa913970
12bb585744
136a9b0295
1440c80124
1527927daa
hex198919e4

428415460 has 48 divisors (see below), whose sum is σ = 983146752. Its totient is φ = 155520000.

The previous prime is 428415433. The next prime is 428415467. The reversal of 428415460 is 64514824.

It is not an unprimeable number, because it can be changed into a prime (428415467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163924 + ... + 166516.

It is an arithmetic number, because the mean of its divisors is an integer number (20482224).

Almost surely, 2428415460 is an apocalyptic number.

It is an amenable number.

428415460 is an abundant number, since it is smaller than the sum of its proper divisors (554731292).

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

428415460 is a wasteful number, since it uses less digits than its factorization.

428415460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 428415460 is about 20698.1994385985. The cubic root of 428415460 is about 753.8559695056.

The spelling of 428415460 in words is "four hundred twenty-eight million, four hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 751 1502 2593 3004 3755 5186 7510 8261 10372 12965 15020 16522 25930 28523 33044 41305 51860 57046 82610 114092 142615 165220 285230 570460 1947343 3894686 7789372 9736715 19473430 21420773 38946860 42841546 85683092 107103865 214207730 428415460