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42356129 = 1721131297
BaseRepresentation
bin1010000110010…
…0110110100001
32221200220200112
42201210312201
541320344004
64111501105
71023010154
oct241446641
987626615
1042356129
11219aa872
1212227795
138a100ca
1458a7c9b
153ab9e6e
hex2864da1

42356129 has 12 divisors (see below), whose sum is σ = 45427404. Its totient is φ = 39481344.

The previous prime is 42356123. The next prime is 42356173. The reversal of 42356129 is 92165324.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4558225 + 37797904 = 2135^2 + 6148^2 .

It is not a de Polignac number, because 42356129 - 24 = 42356113 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42356095 and 42356104.

It is not an unprimeable number, because it can be changed into a prime (42356123) 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 11 ways as a sum of consecutive naturals, for example, 32009 + ... + 33305.

It is an arithmetic number, because the mean of its divisors is an integer number (3785617).

Almost surely, 242356129 is an apocalyptic number.

It is an amenable number.

42356129 is a deficient number, since it is larger than the sum of its proper divisors (3071275).

42356129 is a wasteful number, since it uses less digits than its factorization.

42356129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1427 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 42356129 is about 6508.1586489575. The cubic root of 42356129 is about 348.5823719626.

The spelling of 42356129 in words is "forty-two million, three hundred fifty-six thousand, one hundred twenty-nine".

Divisors: 1 17 113 289 1297 1921 22049 32657 146561 374833 2491537 42356129