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425472768 = 28327233137
BaseRepresentation
bin11001010111000…
…011001100000000
31002122121020220200
4121113003030000
51332410112033
6110115205200
713354313250
oct3127031400
91078536820
10425472768
111a9193a96
12ba5a6800
136a1bca46
1440715960
1527546013
hex195c3300

425472768 has 432 divisors, whose sum is σ = 1550954496. Its totient is φ = 109486080.

The previous prime is 425472763. The next prime is 425472779. The reversal of 425472768 is 867274524.

It is a happy number.

425472768 is a `hidden beast` number, since 42 + 547 + 2 + 7 + 68 = 666.

Its product of digits (752640) is a multiple of the sum of its prime factors (120).

It is not an unprimeable number, because it can be changed into a prime (425472763) 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 47 ways as a sum of consecutive naturals, for example, 11499246 + ... + 11499282.

Almost surely, 2425472768 is an apocalyptic number.

425472768 is a gapful number since it is divisible by the number (48) 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 425472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775477248).

425472768 is an abundant number, since it is smaller than the sum of its proper divisors (1125481728).

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

425472768 is a wasteful number, since it uses less digits than its factorization.

425472768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 425472768 is about 20626.9912493315. The cubic root of 425472768 is about 752.1259785925.

The spelling of 425472768 in words is "four hundred twenty-five million, four hundred seventy-two thousand, seven hundred sixty-eight".