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428229024 = 2536416959
BaseRepresentation
bin11001100001100…
…100000110100000
31002211210021210020
4121201210012200
51334111312044
6110254233440
713416613056
oct3141440640
91084707706
10428229024
111aa7a6893
12bb4b5880
136a946472
1440c321d6
15278dca19
hex198641a0

428229024 has 48 divisors (see below), whose sum is σ = 1126016640. Its totient is φ = 142499840.

The previous prime is 428229007. The next prime is 428229037. The reversal of 428229024 is 420922824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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, 58057 + ... + 65015.

It is an arithmetic number, because the mean of its divisors is an integer number (23458680).

Almost surely, 2428229024 is an apocalyptic number.

It is an amenable number.

428229024 is an abundant number, since it is smaller than the sum of its proper divisors (697787616).

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

428229024 is a wasteful number, since it uses less digits than its factorization.

428229024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7613 (or 7605 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 428229024 is about 20693.6952717488. The cubic root of 428229024 is about 753.7466003713.

The spelling of 428229024 in words is "four hundred twenty-eight million, two hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 641 1282 1923 2564 3846 5128 6959 7692 10256 13918 15384 20512 20877 27836 30768 41754 55672 61536 83508 111344 167016 222688 334032 668064 4460719 8921438 13382157 17842876 26764314 35685752 53528628 71371504 107057256 142743008 214114512 428229024