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252435123 = 3422713729
BaseRepresentation
bin11110000101111…
…01101010110011
3122121000000220000
433002331222303
51004110410443
641014321043
76153443313
oct1702755263
9577000800
10252435123
1111a547276
1270659183
13403b5bc5
1425751443
15172658d3
hexf0bdab3

252435123 has 20 divisors (see below), whose sum is σ = 378783240. Its totient is φ = 167536512.

The previous prime is 252435109. The next prime is 252435137. The reversal of 252435123 is 321534252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252435109) and next prime (252435137).

It is not a de Polignac number, because 252435123 - 216 = 252369587 is a prime.

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 (252435523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11523 + ... + 25251.

It is an arithmetic number, because the mean of its divisors is an integer number (18939162).

Almost surely, 2252435123 is an apocalyptic number.

252435123 is a deficient number, since it is larger than the sum of its proper divisors (126348117).

252435123 is a wasteful number, since it uses less digits than its factorization.

252435123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13968 (or 13959 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 252435123 is about 15888.2070417023. The cubic root of 252435123 is about 631.9992948171. Note that the first 3 decimals are identical.

Adding to 252435123 its reverse (321534252), we get a palindrome (573969375).

The spelling of 252435123 in words is "two hundred fifty-two million, four hundred thirty-five thousand, one hundred twenty-three".

Divisors: 1 3 9 27 81 227 681 2043 6129 13729 18387 41187 123561 370683 1112049 3116483 9349449 28048347 84145041 252435123