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425093760 = 27325713811
BaseRepresentation
bin11001010101100…
…110101010000000
31002121220000000100
4121111212222000
51332311000020
6110103122400
713351144260
oct3125465200
91077800010
10425093760
111a8a55263
12ba443400
136a0b9390
14406577a0
15274bda90
hex19566a80

425093760 has 384 divisors, whose sum is σ = 1808876160. Its totient is φ = 89579520.

The previous prime is 425093759. The next prime is 425093807. The reversal of 425093760 is 67390524.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523755 + ... + 524565.

It is an arithmetic number, because the mean of its divisors is an integer number (4710615).

Almost surely, 2425093760 is an apocalyptic number.

425093760 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 425093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904438080).

425093760 is an abundant number, since it is smaller than the sum of its proper divisors (1383782400).

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

425093760 is a wasteful number, since it uses less digits than its factorization.

425093760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 425093760 is about 20617.8020167039. The cubic root of 425093760 is about 751.9025828236.

The spelling of 425093760 in words is "four hundred twenty-five million, ninety-three thousand, seven hundred sixty".