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42302817 = 341731991
BaseRepresentation
bin1010000101011…
…1110101100001
32221121012120000
42201113311201
541312142232
64110410213
71022365554
oct241276541
987535500
1042302817
1121973807
1212200969
1389c1a6b
14589269b
153aa927c
hex2857d61

42302817 has 40 divisors (see below), whose sum is σ = 69138432. Its totient is φ = 25660800.

The previous prime is 42302809. The next prime is 42302831. The reversal of 42302817 is 71820324.

42302817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42302817 - 23 = 42302809 is a prime.

It is a super-2 number, since 2×423028172 = 3579056652270978, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42302807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42192 + ... + 43182.

Almost surely, 242302817 is an apocalyptic number.

It is an amenable number.

42302817 is a deficient number, since it is larger than the sum of its proper divisors (26835615).

42302817 is a wasteful number, since it uses less digits than its factorization.

42302817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42302817 is about 6504.0615771993. The cubic root of 42302817 is about 348.4360615691.

The spelling of 42302817 in words is "forty-two million, three hundred two thousand, eight hundred seventeen".

Divisors: 1 3 9 17 27 31 51 81 93 153 279 459 527 837 991 1377 1581 2511 2973 4743 8919 14229 16847 26757 30721 42687 50541 80271 92163 151623 276489 454869 522257 829467 1364607 1566771 2488401 4700313 14100939 42302817