Search a number
-
+
6440742 = 2337111549
BaseRepresentation
bin11000100100011100100110
3110010020001000
4120210130212
53122100432
6350014130
7105513450
oct30443446
913106030
106440742
1136aa030
1221a7346
1314467b9
14bd92d0
1587357c
hex624726

6440742 has 64 divisors (see below), whose sum is σ = 17856000. Its totient is φ = 1671840.

The previous prime is 6440737. The next prime is 6440747. The reversal of 6440742 is 2470446.

It is an interprime number because it is at equal distance from previous prime (6440737) and next prime (6440747).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6440747) 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, 3384 + ... + 4932.

It is an arithmetic number, because the mean of its divisors is an integer number (279000).

Almost surely, 26440742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6440742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928000).

6440742 is an abundant number, since it is smaller than the sum of its proper divisors (11415258).

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

6440742 is a wasteful number, since it uses less digits than its factorization.

6440742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 6440742 is about 2537.8616983595. The cubic root of 6440742 is about 186.0566944758.

The spelling of 6440742 in words is "six million, four hundred forty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 1549 2079 3098 4158 4647 9294 10843 13941 17039 21686 27882 32529 34078 41823 51117 65058 83646 97587 102234 119273 153351 195174 238546 292761 306702 357819 460053 585522 715638 920106 1073457 2146914 3220371 6440742