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76242 = 2397131
BaseRepresentation
bin10010100111010010
310212120210
4102213102
54414432
61344550
7435165
oct224722
9125523
1076242
1152311
1238156
132891a
141dadc
15178cc
hex129d2

76242 has 16 divisors (see below), whose sum is σ = 155232. Its totient is φ = 24960.

The previous prime is 76231. The next prime is 76243. The reversal of 76242 is 24267.

It can be divided in two parts, 7624 and 2, that added together give a triangular number (7626 = T123).

It is a happy number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (76243) by changing a digit.

76242 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (9702).

276242 is an apocalyptic number.

76242 is an abundant number, since it is smaller than the sum of its proper divisors (78990).

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 (77616).

76242 is a wasteful number, since it uses less digits than its factorization.

76242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233.

The product of its digits is 672, while the sum is 21.

The square root of 76242 is about 276.1195393303. The cubic root of 76242 is about 42.4031473871.

The spelling of 76242 in words is "seventy-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 97 131 194 262 291 393 582 786 12707 25414 38121 76242