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992475 = 325211401
BaseRepresentation
bin11110010010011011011
31212102102100
43302103123
5223224400
633134443
711302341
oct3622333
91772370
10992475
11618730
123ba423
13289983
141bb991
15149100
hexf24db

992475 has 36 divisors (see below), whose sum is σ = 1944072. Its totient is φ = 480000.

The previous prime is 992461. The next prime is 992513. The reversal of 992475 is 574299.

It is not a de Polignac number, because 992475 - 28 = 992219 is a prime.

Its product of digits (22680) is a multiple of the sum of its prime divisors (420).

992475 is a lucky number.

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 992475.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2275 + ... + 2675.

It is an arithmetic number, because the mean of its divisors is an integer number (54002).

2992475 is an apocalyptic number.

992475 is a deficient number, since it is larger than the sum of its proper divisors (951597).

992475 is a wasteful number, since it uses less digits than its factorization.

992475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 992475 is about 996.2303950392. The cubic root of 992475 is about 99.7485348495.

It can be divided in two parts, 9924 and 75, that added together give a palindrome (9999).

The spelling of 992475 in words is "nine hundred ninety-two thousand, four hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 401 495 825 1203 2005 2475 3609 4411 6015 10025 13233 18045 22055 30075 39699 66165 90225 110275 198495 330825 992475