Search a number
-
+
9728852 = 22741013
BaseRepresentation
bin100101000111…
…001101010100
3200022021110212
4211013031110
54442310402
6544304552
7145460000
oct45071524
920267425
109728852
115545481
123312158
132028323
141413700
15cc2952
hex947354

9728852 has 30 divisors (see below), whose sum is σ = 19881498. Its totient is φ = 4165392.

The previous prime is 9728843. The next prime is 9728861. The reversal of 9728852 is 2588279.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9728843) and next prime (9728861).

It can be written as a sum of positive squares in only one way, i.e., 5080516 + 4648336 = 2254^2 + 2156^2 .

It is a super-2 number, since 2×97288522 = 189301122475808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 9098 + ... + 10110.

Almost surely, 29728852 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 9728852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9940749).

9728852 is an abundant number, since it is smaller than the sum of its proper divisors (10152646).

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

9728852 is a wasteful number, since it uses less digits than its factorization.

9728852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1022 counting only the distinct ones).

The product of its digits is 80640, while the sum is 41.

The square root of 9728852 is about 3119.1107707166. The cubic root of 9728852 is about 213.4783638381.

The spelling of 9728852 in words is "nine million, seven hundred twenty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1013 1372 2026 2401 4052 4802 7091 9604 14182 28364 49637 99274 198548 347459 694918 1389836 2432213 4864426 9728852