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9979242 = 237313373
BaseRepresentation
bin100110000100…
…010101101010
3200202222221120
4212010111222
510023313432
6553520110
7150552000
oct46042552
920688846
109979242
1156a6609
123413036
1320b52a0
14147aa70
15d21c2c
hex98456a

9979242 has 64 divisors (see below), whose sum is σ = 25132800. Its totient is φ = 2624832.

The previous prime is 9979213. The next prime is 9979243. The reversal of 9979242 is 2429799.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 9979194 and 9979203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9979243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26568 + ... + 26940.

It is an arithmetic number, because the mean of its divisors is an integer number (392700).

Almost surely, 29979242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9979242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12566400).

9979242 is an abundant number, since it is smaller than the sum of its proper divisors (15153558).

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

9979242 is a wasteful number, since it uses less digits than its factorization.

9979242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 398 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 9979242 is about 3158.9938271545. The cubic root of 9979242 is about 215.2942932182.

The spelling of 9979242 in words is "nine million, nine hundred seventy-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 373 546 637 686 746 1029 1119 1274 1911 2058 2238 2611 3822 4459 4849 5222 7833 8918 9698 13377 14547 15666 18277 26754 29094 33943 36554 54831 67886 101829 109662 127939 203658 237601 255878 383817 475202 712803 767634 1425606 1663207 3326414 4989621 9979242