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5146746 = 2311292689
BaseRepresentation
bin10011101000100001111010
3100200111000020
4103220201322
52304143441
6302151310
761514043
oct23504172
910614006
105146746
1129a5910
121882536
1310b2817
1497d8ca
156b9e66
hex4e887a

5146746 has 32 divisors (see below), whose sum is σ = 11620800. Its totient is φ = 1505280.

The previous prime is 5146741. The next prime is 5146751. The reversal of 5146746 is 6476415.

5146746 = T238 + T239 + ... + T353.

It is an interprime number because it is at equal distance from previous prime (5146741) and next prime (5146751).

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

It is not an unprimeable number, because it can be changed into a prime (5146741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570 + ... + 3258.

It is an arithmetic number, because the mean of its divisors is an integer number (363150).

Almost surely, 25146746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5146746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810400).

5146746 is an abundant number, since it is smaller than the sum of its proper divisors (6474054).

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

5146746 is a wasteful number, since it uses less digits than its factorization.

5146746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734.

The product of its digits is 20160, while the sum is 33.

The square root of 5146746 is about 2268.6440884370. The cubic root of 5146746 is about 172.6543713677.

It can be divided in two parts, 514 and 6746, that added together give a triangular number (7260 = T120).

The spelling of 5146746 in words is "five million, one hundred forty-six thousand, seven hundred forty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914 2689 5378 8067 16134 29579 59158 77981 88737 155962 177474 233943 467886 857791 1715582 2573373 5146746