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9973332 = 22322941233
BaseRepresentation
bin100110000010…
…111001010100
3200202200211200
4212002321110
510023121312
6553432500
7150525525
oct46027124
920680750
109973332
1156a2126
12340b730
1320b26a5
14147884c
15d200dc
hex982e54

9973332 has 72 divisors (see below), whose sum is σ = 26830440. Its totient is φ = 3118080.

The previous prime is 9973331. The next prime is 9973349. The reversal of 9973332 is 2333799.

It can be written as a sum of positive squares in 4 ways, for example, as 12996 + 9960336 = 114^2 + 3156^2 .

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9973331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42688 + ... + 42920.

It is an arithmetic number, because the mean of its divisors is an integer number (372645).

Almost surely, 29973332 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 9973332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13415220).

9973332 is an abundant number, since it is smaller than the sum of its proper divisors (16857108).

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

9973332 is a wasteful number, since it uses less digits than its factorization.

9973332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 308 counting only the distinct ones).

The product of its digits is 30618, while the sum is 36.

The square root of 9973332 is about 3158.0582641870. The cubic root of 9973332 is about 215.2517836255.

The spelling of 9973332 in words is "nine million, nine hundred seventy-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 41 58 82 87 116 123 164 174 233 246 261 348 369 466 492 522 699 738 932 1044 1189 1398 1476 2097 2378 2796 3567 4194 4756 6757 7134 8388 9553 10701 13514 14268 19106 20271 21402 27028 28659 38212 40542 42804 57318 60813 81084 85977 114636 121626 171954 243252 277037 343908 554074 831111 1108148 1662222 2493333 3324444 4986666 9973332