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9952308 = 22363413
BaseRepresentation
bin100101111101…
…110000110100
3200201122000000
4211331300310
510021433213
6553151300
7150410322
oct45756064
920648000
109952308
115688353
1233bb530
1320a5c52
141470d12
15d18c73
hex97dc34

9952308 has 42 divisors (see below), whose sum is σ = 26120514. Its totient is φ = 3316464.

The previous prime is 9952303. The next prime is 9952337. The reversal of 9952308 is 8032599.

It can be written as a sum of positive squares in only one way, i.e., 9809424 + 142884 = 3132^2 + 378^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9952303) 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 13 ways as a sum of consecutive naturals, for example, 1210 + ... + 4622.

It is an arithmetic number, because the mean of its divisors is an integer number (621917).

Almost surely, 29952308 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 9952308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13060257).

9952308 is an abundant number, since it is smaller than the sum of its proper divisors (16168206).

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

9952308 is a wasteful number, since it uses less digits than its factorization.

9952308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9952308 is about 3154.7278804994. The cubic root of 9952308 is about 215.1004254119.

The spelling of 9952308 in words is "nine million, nine hundred fifty-two thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 3413 6826 10239 13652 20478 30717 40956 61434 92151 122868 184302 276453 368604 552906 829359 1105812 1658718 2488077 3317436 4976154 9952308