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92144 = 2413443
BaseRepresentation
bin10110011111110000
311200101202
4112133300
510422034
61550332
7532433
oct263760
9150352
1092144
1163258
12453a8
1332c30
142581a
151c47e
hex167f0

92144 has 20 divisors (see below), whose sum is σ = 192696. Its totient is φ = 42432.

The previous prime is 92143. The next prime is 92153. The reversal of 92144 is 44129.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92144.

It is not an unprimeable number, because it can be changed into a prime (92143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14 + ... + 429.

292144 is an apocalyptic number.

It is an amenable number.

92144 is an abundant number, since it is smaller than the sum of its proper divisors (100552).

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 (96348).

92144 is a wasteful number, since it uses less digits than its factorization.

92144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 92144 is about 303.5523019185. The cubic root of 92144 is about 45.1671152460.

It can be divided in two parts, 9214 and 4, that multiplied together give a triangular number (36856 = T271).

The spelling of 92144 in words is "ninety-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 443 886 1772 3544 5759 7088 11518 23036 46072 92144