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75894 = 23713139
BaseRepresentation
bin10010100001110110
310212002220
4102201312
54412034
61343210
7434160
oct224166
9125086
1075894
1152025
1237b06
1328710
141d930
1517749
hex12876

75894 has 32 divisors (see below), whose sum is σ = 188160. Its totient is φ = 19872.

The previous prime is 75883. The next prime is 75913. The reversal of 75894 is 49857.

Added to its reverse (49857) it gives a triangular number (125751 = T501).

75894 is nontrivially palindromic in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

275894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94080).

75894 is an abundant number, since it is smaller than the sum of its proper divisors (112266).

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

75894 is a wasteful number, since it uses less digits than its factorization.

75894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164.

The product of its digits is 10080, while the sum is 33.

The square root of 75894 is about 275.4886567538. The cubic root of 75894 is about 42.3385338160.

Adding to 75894 its reverse (49857), we get a triangular number (125751 = T501).

It can be divided in two parts, 75 and 894, that added together give a palindrome (969).

The spelling of 75894 in words is "seventy-five thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 139 182 273 278 417 546 834 973 1807 1946 2919 3614 5421 5838 10842 12649 25298 37947 75894