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425119680 = 263251719457
BaseRepresentation
bin11001010101101…
…100111111000000
31002121221022120100
4121111230333000
51332312312210
6110103442400
713351312656
oct3125547700
91077838510
10425119680
111a8a72787
12ba456400
136a0c810b
1440662dd6
15274c65c0
hex1956cfc0

425119680 has 336 divisors, whose sum is σ = 1633301280. Its totient is φ = 100859904.

The previous prime is 425119657. The next prime is 425119687. The reversal of 425119680 is 86911524.

425119680 = T6680 + T6681 + ... + T6698.

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 (425119687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930012 + ... + 930468.

Almost surely, 2425119680 is an apocalyptic number.

425119680 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 425119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816650640).

425119680 is an abundant number, since it is smaller than the sum of its proper divisors (1208181600).

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

425119680 is a wasteful number, since it uses less digits than its factorization.

425119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 425119680 is about 20618.4305901298. The cubic root of 425119680 is about 751.9178648787.

The spelling of 425119680 in words is "four hundred twenty-five million, one hundred nineteen thousand, six hundred eighty".