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428052024 = 233211715077
BaseRepresentation
bin11001100000111…
…000111000111000
31002211110021222200
4121200320320320
51334040131044
6110250350200
713415245041
oct3140707070
91084407880
10428052024
111aa695904
12bb42b360
136a8b3a2a
1440bc78c8
15278a5369
hex19838e38

428052024 has 48 divisors (see below), whose sum is σ = 1160526120. Its totient is φ = 142534080.

The previous prime is 428052019. The next prime is 428052049. The reversal of 428052024 is 420250824.

It is a happy number.

428052024 is a `hidden beast` number, since 42 + 80 + 520 + 24 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 81774 + ... + 86850.

Almost surely, 2428052024 is an apocalyptic number.

It is an amenable number.

428052024 is an abundant number, since it is smaller than the sum of its proper divisors (732474096).

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

428052024 is a wasteful number, since it uses less digits than its factorization.

428052024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6260 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 428052024 is about 20689.4181648494. The cubic root of 428052024 is about 753.6427373088.

The spelling of 428052024 in words is "four hundred twenty-eight million, fifty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1171 2342 3513 4684 5077 7026 9368 10154 10539 14052 15231 20308 21078 28104 30462 40616 42156 45693 60924 84312 91386 121848 182772 365544 5945167 11890334 17835501 23780668 35671002 47561336 53506503 71342004 107013006 142684008 214026012 428052024