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5042646 = 2327311291
BaseRepresentation
bin10011001111000111010110
3100111012012200
4103033013112
52242331041
6300025330
760601410
oct23170726
910435180
105042646
112934684
121832246
13107731b
149539b0
156991b6
hex4cf1d6

5042646 has 48 divisors (see below), whose sum is σ = 12899328. Its totient is φ = 1393200.

The previous prime is 5042641. The next prime is 5042647. The reversal of 5042646 is 6462405.

It is a happy number.

It is a super-3 number, since 3×50426463 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5042641) 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, 3261 + ... + 4551.

It is an arithmetic number, because the mean of its divisors is an integer number (268736).

Almost surely, 25042646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5042646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6449664).

5042646 is an abundant number, since it is smaller than the sum of its proper divisors (7856682).

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

5042646 is a wasteful number, since it uses less digits than its factorization.

5042646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5042646 is about 2245.5836657760. The cubic root of 5042646 is about 171.4823765632.

The spelling of 5042646 in words is "five million, forty-two thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1291 1302 1953 2582 3873 3906 7746 9037 11619 18074 23238 27111 40021 54222 80042 81333 120063 162666 240126 280147 360189 560294 720378 840441 1680882 2521323 5042646