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42593360 = 245532417
BaseRepresentation
bin1010001001111…
…0110001010000
32222010222002212
42202132301100
541400441420
64120531252
71025015615
oct242366120
988128085
1042593360
1122052027
1212320b28
138a94094
14592a50c
153b153c5
hex289ec50

42593360 has 20 divisors (see below), whose sum is σ = 99029748. Its totient is φ = 17037312.

The previous prime is 42593357. The next prime is 42593371. The reversal of 42593360 is 6339524.

It can be written as a sum of positive squares in 2 ways, for example, as 25321024 + 17272336 = 5032^2 + 4156^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266129 + ... + 266288.

Almost surely, 242593360 is an apocalyptic number.

42593360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42593360 is an abundant number, since it is smaller than the sum of its proper divisors (56436388).

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

42593360 is a wasteful number, since it uses less digits than its factorization.

42593360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532430 (or 532424 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 42593360 is about 6526.3588623366. The cubic root of 42593360 is about 349.2319484482.

The spelling of 42593360 in words is "forty-two million, five hundred ninety-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 532417 1064834 2129668 2662085 4259336 5324170 8518672 10648340 21296680 42593360