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75426 = 2313967
BaseRepresentation
bin10010011010100010
310211110120
4102122202
54403201
61341110
7432621
oct223242
9124416
1075426
115173a
1237796
1328440
141d6b8
1517536
hex126a2

75426 has 16 divisors (see below), whose sum is σ = 162624. Its totient is φ = 23184.

The previous prime is 75407. The next prime is 75431. The reversal of 75426 is 62457.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 75396 and 75405.

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 75426.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 406 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (10164).

275426 is an apocalyptic number.

75426 is an abundant number, since it is smaller than the sum of its proper divisors (87198).

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 (81312).

75426 is a wasteful number, since it uses less digits than its factorization.

75426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985.

The product of its digits is 1680, while the sum is 24.

The square root of 75426 is about 274.6379434820. The cubic root of 75426 is about 42.2513275262.

It can be divided in two parts, 754 and 26, that added together give a triangular number (780 = T39).

The spelling of 75426 in words is "seventy-five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 967 1934 2901 5802 12571 25142 37713 75426