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90524 = 2275361
BaseRepresentation
bin10110000110011100
311121011202
4112012130
510344044
61535032
7524630
oct260634
9147152
1090524
1162015
1244478
1332285
1424dc0
151bc4e
hex1619c

90524 has 24 divisors (see below), whose sum is σ = 187488. Its totient is φ = 37440.

The previous prime is 90523. The next prime is 90527. The reversal of 90524 is 42509.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 90496 and 90505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1454 + ... + 1514.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

290524 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 90524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

90524 is an abundant number, since it is smaller than the sum of its proper divisors (96964).

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

90524 is a wasteful number, since it uses less digits than its factorization.

90524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 90524 is about 300.8720658353. The cubic root of 90524 is about 44.9008516661.

It can be divided in two parts, 905 and 24, that added together give a palindrome (929).

The spelling of 90524 in words is "ninety thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 53 61 106 122 212 244 371 427 742 854 1484 1708 3233 6466 12932 22631 45262 90524