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425632896 = 27321397293
BaseRepresentation
bin11001010111101…
…010010010000000
31002122220101120100
4121113222102000
51332430223041
6110122442400
713355551143
oct3127522200
91078811510
10425632896
111a9293327
12ba663400
136a2478b0
144075805a
15275786b6
hex195ea480

425632896 has 192 divisors, whose sum is σ = 1337164920. Its totient is φ = 129171456.

The previous prime is 425632861. The next prime is 425632897. The reversal of 425632896 is 698236524.

425632896 is a `hidden beast` number, since 4 + 2 + 5 + 632 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 378847296 + 46785600 = 19464^2 + 6840^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (425632897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1452526 + ... + 1452818.

Almost surely, 2425632896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425632896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668582460).

425632896 is an abundant number, since it is smaller than the sum of its proper divisors (911532024).

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

425632896 is a wasteful number, since it uses less digits than its factorization.

425632896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 425632896 is about 20630.8724003616. The cubic root of 425632896 is about 752.2203217421.

The spelling of 425632896 in words is "four hundred twenty-five million, six hundred thirty-two thousand, eight hundred ninety-six".