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9932328 = 233376569
BaseRepresentation
bin100101111000…
…111000101000
3200200121121000
4211320320220
510020313303
6552515000
7150265140
oct45707050
920617530
109932328
11567433a
1233aba60
132099b23
141467920
15d12da3
hex978e28

9932328 has 64 divisors (see below), whose sum is σ = 31536000. Its totient is φ = 2837376.

The previous prime is 9932323. The next prime is 9932347. The reversal of 9932328 is 8232399.

It is a super-2 number, since 2×99323282 = 197302278999168, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9932292 and 9932301.

It is not an unprimeable number, because it can be changed into a prime (9932323) 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 15 ways as a sum of consecutive naturals, for example, 1773 + ... + 4796.

It is an arithmetic number, because the mean of its divisors is an integer number (492750).

Almost surely, 29932328 is an apocalyptic number.

It is an amenable number.

9932328 is an abundant number, since it is smaller than the sum of its proper divisors (21603672).

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

9932328 is a wasteful number, since it uses less digits than its factorization.

9932328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591 (or 6581 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 9932328 is about 3151.5596139055. The cubic root of 9932328 is about 214.9563856005.

It can be divided in two parts, 993 and 2328, that added together give a triangular number (3321 = T81).

The spelling of 9932328 in words is "nine million, nine hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 6569 13138 19707 26276 39414 45983 52552 59121 78828 91966 118242 137949 157656 177363 183932 236484 275898 354726 367864 413847 472968 551796 709452 827694 1103592 1241541 1418904 1655388 2483082 3310776 4966164 9932328