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425187840 = 2935711719
BaseRepresentation
bin11001010101111…
…101101000000000
31002122001210001210
4121111331220000
51332322002330
6110105130120
713352015460
oct3125755000
91078053053
10425187840
111a9009a10
12ba489940
136a12014c
144067dba0
15274db8b0
hex1957da00

425187840 has 320 divisors, whose sum is σ = 1697034240. Its totient is φ = 88227840.

The previous prime is 425187823. The next prime is 425187853. The reversal of 425187840 is 48781524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 591001 + ... + 591719.

It is an arithmetic number, because the mean of its divisors is an integer number (5303232).

Almost surely, 2425187840 is an apocalyptic number.

425187840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848517120).

425187840 is an abundant number, since it is smaller than the sum of its proper divisors (1271846400).

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

425187840 is a wasteful number, since it uses less digits than its factorization.

425187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 425187840 is about 20620.0834139923. The cubic root of 425187840 is about 751.9580480595.

The spelling of 425187840 in words is "four hundred twenty-five million, one hundred eighty-seven thousand, eight hundred forty".