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91488 = 253953
BaseRepresentation
bin10110010101100000
311122111110
4112111200
510411423
61543320
7530505
oct262540
9148443
1091488
1162811
1244b40
1332847
14254ac
151c193
hex16560

91488 has 24 divisors (see below), whose sum is σ = 240408. Its totient is φ = 30464.

The previous prime is 91463. The next prime is 91493. The reversal of 91488 is 88419.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

91488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 381 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (10017).

291488 is an apocalyptic number.

It is an amenable number.

91488 is an abundant number, since it is smaller than the sum of its proper divisors (148920).

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 (120204).

91488 is a wasteful number, since it uses less digits than its factorization.

91488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 958 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 91488 is about 302.4698332066. The cubic root of 91488 is about 45.0596739186.

The spelling of 91488 in words is "ninety-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 953 1906 2859 3812 5718 7624 11436 15248 22872 30496 45744 91488