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425382480 = 24325590809
BaseRepresentation
bin11001010110101…
…101001001010000
31002122102200001200
4121112231021100
51332344214410
6110113231200
713353456105
oct3126551120
91078380050
10425382480
111a9132176
12ba562500
136a18a913
14406d0aac
15275293c0
hex195ad250

425382480 has 60 divisors (see below), whose sum is σ = 1428578580. Its totient is φ = 113435136.

The previous prime is 425382479. The next prime is 425382491. The reversal of 425382480 is 84283524.

425382480 is a `hidden beast` number, since 42 + 538 + 2 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44195904 + 381186576 = 6648^2 + 19524^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 294685 + ... + 296124.

It is an arithmetic number, because the mean of its divisors is an integer number (23809643).

Almost surely, 2425382480 is an apocalyptic number.

425382480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425382480 is an abundant number, since it is smaller than the sum of its proper divisors (1003196100).

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

425382480 is a wasteful number, since it uses less digits than its factorization.

425382480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590828 (or 590819 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 425382480 is about 20624.8025445094. The cubic root of 425382480 is about 752.0727728729.

The spelling of 425382480 in words is "four hundred twenty-five million, three hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 590809 1181618 1772427 2363236 2954045 3544854 4726472 5317281 5908090 7089708 8862135 9452944 10634562 11816180 14179416 17724270 21269124 23632360 26586405 28358832 35448540 42538248 47264720 53172810 70897080 85076496 106345620 141794160 212691240 425382480