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427573080 = 23365113143
BaseRepresentation
bin11001011111000…
…011111101011000
31002210112222000000
4121133003331120
51333424314310
6110232213000
713411211514
oct3137037530
91083488000
10427573080
111aa398a90
12bb23a160
136a776a2c
1440b01144
152780d4c0
hex197c3f58

427573080 has 448 divisors, whose sum is σ = 1662059520. Its totient is φ = 97977600.

The previous prime is 427573057. The next prime is 427573109. The reversal of 427573080 is 80375724.

427573080 is a `hidden beast` number, since 4 + 2 + 7 + 573 + 0 + 80 = 666.

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

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9943539 + ... + 9943581.

Almost surely, 2427573080 is an apocalyptic number.

427573080 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 427573080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831029760).

427573080 is an abundant number, since it is smaller than the sum of its proper divisors (1234486440).

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

427573080 is a wasteful number, since it uses less digits than its factorization.

427573080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 427573080 is about 20677.8403127599. The cubic root of 427573080 is about 753.3615507917.

The spelling of 427573080 in words is "four hundred twenty-seven million, five hundred seventy-three thousand, eighty".