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425755440 = 24355112181
BaseRepresentation
bin11001011000001…
…000001100110000
31002200010121200000
4121120020030300
51332443133230
6110125230000
713356601335
oct3130101460
91080117600
10425755440
111a9367400
12ba702300
136a28b5c6
144078a98c
152759eb60
hex19608330

425755440 has 360 divisors, whose sum is σ = 1638843024. Its totient is φ = 102643200.

The previous prime is 425755403. The next prime is 425755481. The reversal of 425755440 is 44557524.

It is a happy number.

425755440 is a `hidden beast` number, since 42 + 5 + 75 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 425755395 and 425755404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2352150 + ... + 2352330.

Almost surely, 2425755440 is an apocalyptic number.

425755440 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 425755440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819421512).

425755440 is an abundant number, since it is smaller than the sum of its proper divisors (1213087584).

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

425755440 is a wasteful number, since it uses less digits than its factorization.

425755440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 425755440 is about 20633.8421046590. The cubic root of 425755440 is about 752.2925054187.

The spelling of 425755440 in words is "four hundred twenty-five million, seven hundred fifty-five thousand, four hundred forty".