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425561472 = 273373359
BaseRepresentation
bin11001010111011…
…000110110000000
31002122202202121000
4121113120312000
51332420431342
6110121132000
713355133000
oct3127306600
91078682530
10425561472
111a92446a6
12ba62a000
136a22122b
144073a000
152756244c
hex195d8d80

425561472 has 256 divisors, whose sum is σ = 1468800000. Its totient is φ = 121250304.

The previous prime is 425561447. The next prime is 425561473. The reversal of 425561472 is 274165524.

It is a happy number.

425561472 is a `hidden beast` number, since 4 + 25 + 561 + 4 + 72 = 666.

It is a super-2 number, since 2×4255614722 = 362205132901613568, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425561473) by changing a digit.

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, 1185229 + ... + 1185587.

It is an arithmetic number, because the mean of its divisors is an integer number (5737500).

Almost surely, 2425561472 is an apocalyptic number.

425561472 is a gapful number since it is divisible by the number (42) 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 425561472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400000).

425561472 is an abundant number, since it is smaller than the sum of its proper divisors (1043238528).

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

425561472 is an equidigital number, since it uses as much as digits as its factorization.

425561472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 371 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 425561472 is about 20629.1413296821. The cubic root of 425561472 is about 752.1782435488.

The spelling of 425561472 in words is "four hundred twenty-five million, five hundred sixty-one thousand, four hundred seventy-two".