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42606288 = 2432295877
BaseRepresentation
bin1010001010000…
…1111011010000
32222011121211200
42202201323100
541401400123
64121111200
71025101404
oct242417320
988147750
1042606288
112206080a
1212328500
138a99c2a
145931104
153b19143
hex28a1ed0

42606288 has 30 divisors (see below), whose sum is σ = 119238834. Its totient is φ = 14202048.

The previous prime is 42606287. The next prime is 42606293. The reversal of 42606288 is 88260624.

42606288 is a `hidden beast` number, since 4 + 26 + 0 + 628 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33315984 + 9290304 = 5772^2 + 3048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42606283) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 147795 + ... + 148082.

Almost surely, 242606288 is an apocalyptic number.

42606288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42606288 is an abundant number, since it is smaller than the sum of its proper divisors (76632546).

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

42606288 is a wasteful number, since it uses less digits than its factorization.

42606288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295891 (or 295882 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 42606288 is about 6527.3492322688. The cubic root of 42606288 is about 349.2672780076.

The spelling of 42606288 in words is "forty-two million, six hundred six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 295877 591754 887631 1183508 1775262 2367016 2662893 3550524 4734032 5325786 7101048 10651572 14202096 21303144 42606288