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427015080 = 233253183461
BaseRepresentation
bin11001011100111…
…011101110101000
31002202111121120100
4121130323232220
51333303440310
6110212225400
713403365632
oct3134735650
91082447510
10427015080
111aa047828
12bb00b260
136a60ca5b
14409d7a52
152774cec0
hex1973bba8

427015080 has 192 divisors, whose sum is σ = 1452971520. Its totient is φ = 108633600.

The previous prime is 427015073. The next prime is 427015103. The reversal of 427015080 is 80510724.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926050 + ... + 926510.

It is an arithmetic number, because the mean of its divisors is an integer number (7567560).

Almost surely, 2427015080 is an apocalyptic number.

427015080 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 427015080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726485760).

427015080 is an abundant number, since it is smaller than the sum of its proper divisors (1025956440).

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

427015080 is a wasteful number, since it uses less digits than its factorization.

427015080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 427015080 is about 20664.3432027248. The cubic root of 427015080 is about 753.0336857890.

The spelling of 427015080 in words is "four hundred twenty-seven million, fifteen thousand, eighty".