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992728 = 231129389
BaseRepresentation
bin11110010010111011000
31212102202201
43302113120
5223231403
633135544
711303152
oct3622730
91772681
10992728
11618940
123ba5b4
13289b19
141bbad2
1514921d
hexf25d8

992728 has 32 divisors (see below), whose sum is σ = 2106000. Its totient is φ = 434560.

The previous prime is 992723. The next prime is 992737. The reversal of 992728 is 827299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2358 + ... + 2746.

2992728 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 992728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053000).

992728 is an abundant number, since it is smaller than the sum of its proper divisors (1113272).

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

992728 is a wasteful number, since it uses less digits than its factorization.

992728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 992728 is about 996.3573656073. The cubic root of 992728 is about 99.7570100370.

It can be divided in two parts, 99 and 2728, that multiplied together give a palindrome (270072).

The spelling of 992728 in words is "nine hundred ninety-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 389 638 778 1276 1556 2552 3112 4279 8558 11281 17116 22562 34232 45124 90248 124091 248182 496364 992728