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427250880 = 26325721193
BaseRepresentation
bin11001011101110…
…101010011000000
31002202221121000200
4121131311103000
51333334012010
6110221245200
713405400250
oct3135652300
91082847020
10427250880
111aa198a01
12bb103800
136a693194
1440a59960
1527797cc0
hex197754c0

427250880 has 168 divisors, whose sum is σ = 1679582112. Its totient is φ = 97652736.

The previous prime is 427250843. The next prime is 427250903. The reversal of 427250880 is 88052724.

It is a happy number.

427250880 is a `hidden beast` number, since 4 + 2 + 72 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 9564 + ... + 30756.

Almost surely, 2427250880 is an apocalyptic number.

427250880 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 427250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839791056).

427250880 is an abundant number, since it is smaller than the sum of its proper divisors (1252331232).

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

427250880 is a wasteful number, since it uses less digits than its factorization.

427250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21223 (or 21210 counting only the distinct ones).

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

The square root of 427250880 is about 20670.0478954452. The cubic root of 427250880 is about 753.1722700196.

The spelling of 427250880 in words is "four hundred twenty-seven million, two hundred fifty thousand, eight hundred eighty".