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425872080 = 24355191153
BaseRepresentation
bin11001011000100…
…100101011010000
31002200100112200000
4121120210223100
51333010401310
6110131530000
713360565364
oct3130445320
91080315600
10425872080
111a9436aa7
12ba759900
136a2cc71a
14407bb2a4
15275c44c0
hex19624ad0

425872080 has 240 divisors, whose sum is σ = 1562608320. Its totient is φ = 107495424.

The previous prime is 425872037. The next prime is 425872093. The reversal of 425872080 is 80278524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 368784 + ... + 369936.

It is an arithmetic number, because the mean of its divisors is an integer number (6510868).

Almost surely, 2425872080 is an apocalyptic number.

425872080 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 425872080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781304160).

425872080 is an abundant number, since it is smaller than the sum of its proper divisors (1136736240).

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

425872080 is a wasteful number, since it uses less digits than its factorization.

425872080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 425872080 is about 20636.6683357561. The cubic root of 425872080 is about 752.3611985210.

The spelling of 425872080 in words is "four hundred twenty-five million, eight hundred seventy-two thousand, eighty".