Search a number
-
+
9272772 = 2233233733
BaseRepresentation
bin100011010111…
…110111000100
3122110002212000
4203113313010
54333212042
6530425300
7141550215
oct43276704
918402760
109272772
115263853
123132230
131bc8862
14133540c
15c3274c
hex8d7dc4

9272772 has 48 divisors (see below), whose sum is σ = 25092480. Its totient is φ = 2955744.

The previous prime is 9272713. The next prime is 9272773. The reversal of 9272772 is 2772729.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9272773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618 + ... + 4350.

It is an arithmetic number, because the mean of its divisors is an integer number (522760).

Almost surely, 29272772 is an apocalyptic number.

9272772 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9272772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546240).

9272772 is an abundant number, since it is smaller than the sum of its proper divisors (15819708).

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

9272772 is a wasteful number, since it uses less digits than its factorization.

9272772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3761 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 9272772 is about 3045.1226576281. The cubic root of 9272772 is about 210.0889419167.

The spelling of 9272772 in words is "nine million, two hundred seventy-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 3733 7466 11199 14932 22398 33597 44796 67194 85859 100791 134388 171718 201582 257577 343436 403164 515154 772731 1030308 1545462 2318193 3090924 4636386 9272772