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5186742 = 231189883
BaseRepresentation
bin10011110010010010110110
3100202111212120
4103302102312
52311433432
6303100410
762041461
oct23622266
910674776
105186742
112a22970
1218a1706
1310c7aa2
149902d8
156c6c2c
hex4f24b6

5186742 has 32 divisors (see below), whose sum is σ = 11456640. Its totient is φ = 1552320.

The previous prime is 5186729. The next prime is 5186759. The reversal of 5186742 is 2476815.

5186742 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5433 + ... + 6315.

It is an arithmetic number, because the mean of its divisors is an integer number (358020).

Almost surely, 25186742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5186742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728320).

5186742 is an abundant number, since it is smaller than the sum of its proper divisors (6269898).

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

5186742 is a wasteful number, since it uses less digits than its factorization.

5186742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988.

The product of its digits is 13440, while the sum is 33.

The square root of 5186742 is about 2277.4419860888. The cubic root of 5186742 is about 173.1004573202.

It can be divided in two parts, 518 and 6742, that added together give a triangular number (7260 = T120).

The spelling of 5186742 in words is "five million, one hundred eighty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 89 178 267 534 883 979 1766 1958 2649 2937 5298 5874 9713 19426 29139 58278 78587 157174 235761 471522 864457 1728914 2593371 5186742