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420857024 = 267939413
BaseRepresentation
bin11001000101011…
…100010011000000
31002022220202022012
4121011130103000
51330214411044
6105432232052
713300140260
oct3105342300
91068822265
10420857024
111a6621125
12b8b3b628
1369264b33
143dc737a0
1526e3359e
hex1915c4c0

420857024 has 28 divisors (see below), whose sum is σ = 954444624. Its totient is φ = 180367104.

The previous prime is 420857009. The next prime is 420857029. The reversal of 420857024 is 420758024.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (420857029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 469259 + ... + 470154.

It is an arithmetic number, because the mean of its divisors is an integer number (34087308).

Almost surely, 2420857024 is an apocalyptic number.

It is an amenable number.

420857024 is an abundant number, since it is smaller than the sum of its proper divisors (533587600).

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

420857024 is an equidigital number, since it uses as much as digits as its factorization.

420857024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939432 (or 939422 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 420857024 is about 20514.8001208883. The cubic root of 420857024 is about 749.3962691054.

The spelling of 420857024 in words is "four hundred twenty million, eight hundred fifty-seven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 939413 1878826 3757652 6575891 7515304 13151782 15030608 26303564 30061216 52607128 60122432 105214256 210428512 420857024