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9933329 = 72732777
BaseRepresentation
bin100101111001…
…001000010001
3200200122222002
4211321020101
510020331304
6552523345
7150301100
oct45711021
920618862
109933329
11567506a
1233b0555
13209a413
141468037
15d1331e
hex979211

9933329 has 12 divisors (see below), whose sum is σ = 11717604. Its totient is φ = 8394624.

The previous prime is 9933323. The next prime is 9933349. The reversal of 9933329 is 9233399.

It can be written as a sum of positive squares in 2 ways, for example, as 3441025 + 6492304 = 1855^2 + 2548^2 .

It is not a de Polignac number, because 9933329 - 212 = 9929233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9933292 and 9933301.

It is not an unprimeable number, because it can be changed into a prime (9933323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2189 + ... + 4965.

It is an arithmetic number, because the mean of its divisors is an integer number (976467).

Almost surely, 29933329 is an apocalyptic number.

It is an amenable number.

9933329 is a deficient number, since it is larger than the sum of its proper divisors (1784275).

9933329 is a wasteful number, since it uses less digits than its factorization.

9933329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2857 counting only the distinct ones).

The product of its digits is 39366, while the sum is 38.

The square root of 9933329 is about 3151.7184201638. The cubic root of 9933329 is about 214.9636066036.

The spelling of 9933329 in words is "nine million, nine hundred thirty-three thousand, three hundred twenty-nine".

Divisors: 1 7 49 73 511 2777 3577 19439 136073 202721 1419047 9933329