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94932 = 2234293
BaseRepresentation
bin10111001011010100
311211020000
4113023110
511014212
62011300
7543525
oct271324
9154200
1094932
1165362
1246b30
1334296
142684c
151d1dc
hex172d4

94932 has 30 divisors (see below), whose sum is σ = 249018. Its totient is φ = 31536.

The previous prime is 94907. The next prime is 94933. The reversal of 94932 is 23949.

It can be written as a sum of positive squares in only one way, i.e., 93636 + 1296 = 306^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Leyland number of the form 75 + 57.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 94896 and 94905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94933) by changing a digit.

94932 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 9 ways as a sum of consecutive naturals, for example, 178 + ... + 470.

294932 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 94932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124509).

94932 is an abundant number, since it is smaller than the sum of its proper divisors (154086).

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

94932 is a wasteful number, since it uses less digits than its factorization.

94932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 94932 is about 308.1103698352. The cubic root of 94932 is about 45.6181368297.

The spelling of 94932 in words is "ninety-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 293 324 586 879 1172 1758 2637 3516 5274 7911 10548 15822 23733 31644 47466 94932