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76244 = 2272389
BaseRepresentation
bin10010100111010100
310212120212
4102213110
54414434
61344552
7435200
oct224724
9125525
1076244
1152313
1238158
132891c
141db00
15178ce
hex129d4

76244 has 18 divisors (see below), whose sum is σ = 155610. Its totient is φ = 32592.

The previous prime is 76243. The next prime is 76249. The reversal of 76244 is 44267.

It can be written as a sum of positive squares in only one way, i.e., 56644 + 19600 = 238^2 + 140^2 .

It is a plaindrome in base 15.

It is a congruent number.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (8645).

276244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77805).

76244 is an abundant number, since it is smaller than the sum of its proper divisors (79366).

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

76244 is a wasteful number, since it uses less digits than its factorization.

76244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 398 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 76244 is about 276.1231609264. The cubic root of 76244 is about 42.4035181607.

Adding to 76244 its sum of digits (23), we get a palindrome (76267).

The spelling of 76244 in words is "seventy-six thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 389 778 1556 2723 5446 10892 19061 38122 76244