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42607617 = 3135918517
BaseRepresentation
bin1010001010001…
…0010000000001
32222011200122220
42202202100001
541401420432
64121121253
71025105313
oct242422001
988150586
1042607617
1122061808
1212329229
138a9a710
1459317b3
153b1972c
hex28a2401

42607617 has 16 divisors (see below), whose sum is σ = 62220480. Its totient is φ = 25774272.

The previous prime is 42607613. The next prime is 42607637. The reversal of 42607617 is 71670624.

It is not a de Polignac number, because 42607617 - 22 = 42607613 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42607613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6958 + ... + 11559.

It is an arithmetic number, because the mean of its divisors is an integer number (3888780).

Almost surely, 242607617 is an apocalyptic number.

It is an amenable number.

42607617 is a deficient number, since it is larger than the sum of its proper divisors (19612863).

42607617 is a wasteful number, since it uses less digits than its factorization.

42607617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18592.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 42607617 is about 6527.4510339029. The cubic root of 42607617 is about 349.2709094855.

The spelling of 42607617 in words is "forty-two million, six hundred seven thousand, six hundred seventeen".

Divisors: 1 3 13 39 59 177 767 2301 18517 55551 240721 722163 1092503 3277509 14202539 42607617