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42594552 = 233371113197
BaseRepresentation
bin1010001001111…
…1000011111000
32222011000202000
42202133003320
541401011202
64120541000
71025022240
oct242370370
988130660
1042594552
1122052a10
1212321760
138a947a0
14592ab20
153b1591c
hex289f0f8

42594552 has 256 divisors, whose sum is σ = 159667200. Its totient is φ = 10160640.

The previous prime is 42594547. The next prime is 42594569. The reversal of 42594552 is 25549524.

42594552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216118 + ... + 216314.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 242594552 is an apocalyptic number.

42594552 is a gapful number since it is divisible by the number (42) 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 42594552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

42594552 is an abundant number, since it is smaller than the sum of its proper divisors (117072648).

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

42594552 is a wasteful number, since it uses less digits than its factorization.

42594552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 42594552 is about 6526.4501836757. The cubic root of 42594552 is about 349.2352062377.

The spelling of 42594552 in words is "forty-two million, five hundred ninety-four thousand, five hundred fifty-two".