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427156800 = 26352712713
BaseRepresentation
bin11001011101011…
…110010101000000
31002202202210222020
4121131132111000
51333323004200
6110215241440
713404526050
oct3135362500
91082683866
10427156800
111aa134254
12bb079280
136a65c405
1440a33560
1527779ea0
hex1975e540

427156800 has 168 divisors, whose sum is σ = 1601760576. Its totient is φ = 97628160.

The previous prime is 427156787. The next prime is 427156817. The reversal of 427156800 is 8651724.

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

It is a congruent number.

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, 27244 + ... + 39956.

Almost surely, 2427156800 is an apocalyptic number.

427156800 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 427156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800880288).

427156800 is an abundant number, since it is smaller than the sum of its proper divisors (1174603776).

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

427156800 is a wasteful number, since it uses less digits than its factorization.

427156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12745 (or 12730 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 427156800 is about 20667.7720134513. The cubic root of 427156800 is about 753.1169834951.

The spelling of 427156800 in words is "four hundred twenty-seven million, one hundred fifty-six thousand, eight hundred".