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425208960 = 27335112237
BaseRepresentation
bin11001010110000…
…010110010000000
31002122002212001000
4121112002302000
51332323141320
6110105412000
713352134161
oct3126026200
91078085030
10425208960
111a9023870
12ba49a000
136a129947
1440687768
15274e2c90
hex19582c80

425208960 has 256 divisors, whose sum is σ = 1643587200. Its totient is φ = 103034880.

The previous prime is 425208941. The next prime is 425208967. The reversal of 425208960 is 69802524.

It is a happy number.

425208960 is a `hidden beast` number, since 42 + 520 + 8 + 96 + 0 = 666.

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 (425208967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188962 + ... + 191198.

Almost surely, 2425208960 is an apocalyptic number.

425208960 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 425208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821793600).

425208960 is an abundant number, since it is smaller than the sum of its proper divisors (1218378240).

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

425208960 is a wasteful number, since it uses less digits than its factorization.

425208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 425208960 is about 20620.5955297125. The cubic root of 425208960 is about 751.9704983145.

The spelling of 425208960 in words is "four hundred twenty-five million, two hundred eight thousand, nine hundred sixty".