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425145960 = 233251180961
BaseRepresentation
bin11001010101110…
…011011001101000
31002121222122121200
4121111303121220
51332314132320
6110104204200
713351452411
oct3125633150
91077878550
10425145960
111a8a904a8
12ba469660
136a107075
144066c808
15274ce290
hex19573668

425145960 has 48 divisors (see below), whose sum is σ = 1381725540. Its totient is φ = 113372160.

The previous prime is 425145949. The next prime is 425145967. The reversal of 425145960 is 69541524.

425145960 is a `hidden beast` number, since 425 + 145 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 400880484 + 24265476 = 20022^2 + 4926^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (425145967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 590121 + ... + 590840.

Almost surely, 2425145960 is an apocalyptic number.

425145960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425145960 is an abundant number, since it is smaller than the sum of its proper divisors (956579580).

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

425145960 is a wasteful number, since it uses less digits than its factorization.

425145960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180978 (or 1180971 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 425145960 is about 20619.0678741790. The cubic root of 425145960 is about 751.9333585505.

The spelling of 425145960 in words is "four hundred twenty-five million, one hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1180961 2361922 3542883 4723844 5904805 7085766 9447688 10628649 11809610 14171532 17714415 21257298 23619220 28343064 35428830 42514596 47238440 53143245 70857660 85029192 106286490 141715320 212572980 425145960