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90828 = 2233292
BaseRepresentation
bin10110001011001100
311121121000
4112023030
510401303
61540300
7525543
oct261314
9147530
1090828
1162271
1244690
133245a
142515a
151bda3
hex162cc

90828 has 36 divisors (see below), whose sum is σ = 243880. Its totient is φ = 29232.

The previous prime is 90823. The next prime is 90833. The reversal of 90828 is 82809.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (90823) and next prime (90833).

It is a tau number, because it is divible by the number of its divisors (36).

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 (90821) by changing a digit.

90828 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 11 ways as a sum of consecutive naturals, for example, 3118 + ... + 3146.

290828 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 90828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121940).

90828 is an abundant number, since it is smaller than the sum of its proper divisors (153052).

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

90828 is a wasteful number, since it uses less digits than its factorization.

90828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 90828 is about 301.3768405170. The cubic root of 90828 is about 44.9510579009.

Multiplying 90828 by its sum of digits (27), we get a square (2452356 = 15662).

90828 divided by its sum of digits (27) gives a square (3364 = 582).

Subtracting from 90828 its product of nonzero digits (1152), we obtain a triangular number (89676 = T423).

The spelling of 90828 in words is "ninety thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 841 1044 1566 1682 2523 3132 3364 5046 7569 10092 15138 22707 30276 45414 90828