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9962442 = 2327174651
BaseRepresentation
bin100110000000…
…001111001010
3200202010220100
4212000033022
510022244232
6553310230
7150452010
oct46001712
920663810
109962442
115694a26
123405376
1320aa749
1414748b0
15d1bc7c
hex9803ca

9962442 has 48 divisors (see below), whose sum is σ = 26125632. Its totient is φ = 2678400.

The previous prime is 9962437. The next prime is 9962443. The reversal of 9962442 is 2442699.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 9 + 93 + 63 + 219 + 42 + 410 + 223 .

It is a junction number, because it is equal to n+sod(n) for n = 9962397 and 9962406.

It is not an unprimeable number, because it can be changed into a prime (9962443) 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, 184 + ... + 4467.

It is an arithmetic number, because the mean of its divisors is an integer number (544284).

Almost surely, 29962442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9962442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13062816).

9962442 is an abundant number, since it is smaller than the sum of its proper divisors (16163190).

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

9962442 is a wasteful number, since it uses less digits than its factorization.

9962442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683 (or 4680 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 9962442 is about 3156.3336325553. Note that the first 3 decimals coincide. The cubic root of 9962442 is about 215.1734097640.

It can be divided in two parts, 9962 and 442, that added together give a square (10404 = 1022).

The spelling of 9962442 in words is "nine million, nine hundred sixty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 4651 9302 13953 27906 32557 41859 65114 79067 83718 97671 158134 195342 237201 293013 474402 553469 586026 711603 1106938 1423206 1660407 3320814 4981221 9962442