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42594880 = 265133109
BaseRepresentation
bin1010001001111…
…1001001000000
32222011001012011
42202133021000
541401014010
64120542304
71025023216
oct242371100
988131164
1042594880
1122053189
1212321994
138a94993
14592acb6
153b15a8a
hex289f240

42594880 has 28 divisors (see below), whose sum is σ = 101429820. Its totient is φ = 17037824.

The previous prime is 42594869. The next prime is 42594883. The reversal of 42594880 is 8849524.

It can be written as a sum of positive squares in 2 ways, for example, as 22810176 + 19784704 = 4776^2 + 4448^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (42594883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66235 + ... + 66874.

Almost surely, 242594880 is an apocalyptic number.

42594880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42594880 is an abundant number, since it is smaller than the sum of its proper divisors (58834940).

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

42594880 is a wasteful number, since it uses less digits than its factorization.

42594880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133126 (or 133116 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 42594880 is about 6526.4753121421. The cubic root of 42594880 is about 349.2361026658.

The spelling of 42594880 in words is "forty-two million, five hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 133109 266218 532436 665545 1064872 1331090 2129744 2662180 4259488 5324360 8518976 10648720 21297440 42594880