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91242 = 23237137
BaseRepresentation
bin10110010001101010
311122011100
4112101222
510404432
61542230
7530004
oct262152
9148140
1091242
1162608
1244976
13326b8
1425374
151c07c
hex1646a

91242 has 24 divisors (see below), whose sum is σ = 204516. Its totient is φ = 29376.

The previous prime is 91237. The next prime is 91243. The reversal of 91242 is 24219.

It can be written as a sum of positive squares in 2 ways, for example, as 84681 + 6561 = 291^2 + 81^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (91243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 598 + ... + 734.

291242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102258).

91242 is an abundant number, since it is smaller than the sum of its proper divisors (113274).

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

91242 is a wasteful number, since it uses less digits than its factorization.

91242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 179 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 91242 is about 302.0629073554. The cubic root of 91242 is about 45.0192510225.

It can be divided in two parts, 91 and 242, that multiplied together give a palindrome (22022).

The spelling of 91242 in words is "ninety-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 137 222 274 333 411 666 822 1233 2466 5069 10138 15207 30414 45621 91242