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76232 = 2313733
BaseRepresentation
bin10010100111001000
310212120102
4102213020
54414412
61344532
7435152
oct224710
9125512
1076232
1152302
1238148
1328910
141dad2
15178c2
hex129c8

76232 has 16 divisors (see below), whose sum is σ = 154140. Its totient is φ = 35136.

The previous prime is 76231. The next prime is 76243. The reversal of 76232 is 23267.

It can be written as a sum of positive squares in 2 ways, for example, as 75076 + 1156 = 274^2 + 34^2 .

It is a super-2 number, since 2×762322 = 11622635648, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 75 + 63 + 25 + 310 + 27 .

It is not an unprimeable number, because it can be changed into a prime (76231) 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 3 ways as a sum of consecutive naturals, for example, 263 + ... + 470.

276232 is an apocalyptic number.

It is an amenable number.

76232 is an abundant number, since it is smaller than the sum of its proper divisors (77908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77070).

76232 is a wasteful number, since it uses less digits than its factorization.

76232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 748 counting only the distinct ones).

The product of its digits is 504, while the sum is 20.

The square root of 76232 is about 276.1014306374. The cubic root of 76232 is about 42.4012934220.

Adding to 76232 its reverse (23267), we get a palindrome (99499).

The spelling of 76232 in words is "seventy-six thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 733 1466 2932 5864 9529 19058 38116 76232