Search a number
-
+
92144129 = 7111962983
BaseRepresentation
bin1010111111000…
…00001000000001
320102101101222112
411133200020001
5142042103004
613050545105
72166132530
oct537401001
9212341875
1092144129
1148016280
1226a38195
1316122b6c
14c348317
158151e6e
hex57e0201

92144129 has 16 divisors (see below), whose sum is σ = 120929280. Its totient is φ = 68020560.

The previous prime is 92144093. The next prime is 92144137.

92144129 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 92144129 - 212 = 92140033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 92144095 and 92144104.

It is not an unprimeable number, because it can be changed into a prime (92144329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30029 + ... + 32954.

It is an arithmetic number, because the mean of its divisors is an integer number (7558080).

Almost surely, 292144129 is an apocalyptic number.

It is an amenable number.

92144129 is a deficient number, since it is larger than the sum of its proper divisors (28785151).

92144129 is a wasteful number, since it uses less digits than its factorization.

92144129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63020.

The product of its digits is 5184, while the sum is 32.

The square root of 92144129 is about 9599.1733498255. The cubic root of 92144129 is about 451.6713632375.

The spelling of 92144129 in words is "ninety-two million, one hundred forty-four thousand, one hundred twenty-nine".

Divisors: 1 7 11 19 77 133 209 1463 62983 440881 692813 1196677 4849691 8376739 13163447 92144129