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427062780 = 22365171723
BaseRepresentation
bin11001011101000…
…111010111111100
31002202121001000000
4121131013113330
51333312002110
6110213234300
713403654664
oct3135072774
91082531000
10427062780
111aa07a651
12bb032990
136a628691
1440a0b1a4
152775c1c0
hex197475fc

427062780 has 168 divisors, whose sum is σ = 1424554992. Its totient is φ = 107122176.

The previous prime is 427062767. The next prime is 427062809. The reversal of 427062780 is 87260724.

427062780 is a `hidden beast` number, since 4 + 27 + 0 + 627 + 8 + 0 = 666.

It is a super-2 number, since 2×4270627802 = 364765236122656800, which contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 246999 + ... + 248721.

It is an arithmetic number, because the mean of its divisors is an integer number (8479494).

Almost surely, 2427062780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427062780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712277496).

427062780 is an abundant number, since it is smaller than the sum of its proper divisors (997492212).

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

427062780 is a wasteful number, since it uses less digits than its factorization.

427062780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 427062780 is about 20665.4973325105. The cubic root of 427062780 is about 753.0617241192.

The spelling of 427062780 in words is "four hundred twenty-seven million, sixty-two thousand, seven hundred eighty".