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42632757 = 3312712433
BaseRepresentation
bin1010001010100…
…0011000110101
32222012222011000
42202220120311
541403222012
64121433513
71025241516
oct242503065
988188130
1042632757
1122079692
121233b899
138aa8cab
14593aa0d
153b21ddc
hex28a8635

42632757 has 16 divisors (see below), whose sum is σ = 63662080. Its totient is φ = 28195776.

The previous prime is 42632741. The next prime is 42632773. The reversal of 42632757 is 75723624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42632741) and next prime (42632773).

It is not a de Polignac number, because 42632757 - 24 = 42632741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42632797) 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 15 ways as a sum of consecutive naturals, for example, 2788 + ... + 9645.

It is an arithmetic number, because the mean of its divisors is an integer number (3978880).

Almost surely, 242632757 is an apocalyptic number.

It is an amenable number.

42632757 is a deficient number, since it is larger than the sum of its proper divisors (21029323).

42632757 is a wasteful number, since it uses less digits than its factorization.

42632757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12569 (or 12563 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 42632757 is about 6529.3764633386. The cubic root of 42632757 is about 349.3395900399.

The spelling of 42632757 in words is "forty-two million, six hundred thirty-two thousand, seven hundred fifty-seven".

Divisors: 1 3 9 27 127 381 1143 3429 12433 37299 111897 335691 1578991 4736973 14210919 42632757