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7849242 = 2321959389
BaseRepresentation
bin11101111100010100011010
3112202210010200
4131330110122
54002133432
6440123030
7123501042
oct35742432
915683120
107849242
114481285
122766476
13181a92b
141084722
15a50a7c
hex77c51a

7849242 has 48 divisors (see below), whose sum is σ = 18252000. Its totient is φ = 2430432.

The previous prime is 7849211. The next prime is 7849243. The reversal of 7849242 is 2429487.

It is a super-2 number, since 2×78492422 = 123221199949128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7849197 and 7849206.

It is not an unprimeable number, because it can be changed into a prime (7849243) 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 23 ways as a sum of consecutive naturals, for example, 19984 + ... + 20372.

It is an arithmetic number, because the mean of its divisors is an integer number (380250).

Almost surely, 27849242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7849242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9126000).

7849242 is an abundant number, since it is smaller than the sum of its proper divisors (10402758).

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

7849242 is a wasteful number, since it uses less digits than its factorization.

7849242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 472 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7849242 is about 2801.6498710581. The cubic root of 7849242 is about 198.7357080028.

The spelling of 7849242 in words is "seven million, eight hundred forty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 59 114 118 171 177 342 354 389 531 778 1062 1121 1167 2242 2334 3363 3501 6726 7002 7391 10089 14782 20178 22173 22951 44346 45902 66519 68853 133038 137706 206559 413118 436069 872138 1308207 2616414 3924621 7849242