Search a number
-
+
746461014 = 2313371811429
BaseRepresentation
bin101100011111100…
…001011101010110
31221000121011000020
4230133201131112
53012043223024
6202023130010
724332546115
oct5437413526
91830534006
10746461014
113533a3232
12189ba3906
13bb858a10
14711cdc7c
15457ed979
hex2c7e1756

746461014 has 64 divisors (see below), whose sum is σ = 1661499840. Its totient is φ = 222082560.

The previous prime is 746460971. The next prime is 746461019. The reversal of 746461014 is 410164647.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746461019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521652 + ... + 523080.

It is an arithmetic number, because the mean of its divisors is an integer number (25960935).

Almost surely, 2746461014 is an apocalyptic number.

746461014 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 746461014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830749920).

746461014 is an abundant number, since it is smaller than the sum of its proper divisors (915038826).

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

746461014 is a wasteful number, since it uses less digits than its factorization.

746461014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 746461014 is about 27321.4387249281. The cubic root of 746461014 is about 907.1289840215.

The spelling of 746461014 in words is "seven hundred forty-six million, four hundred sixty-one thousand, fourteen".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 181 222 362 481 543 962 1086 1429 1443 2353 2858 2886 4287 4706 6697 7059 8574 13394 14118 18577 20091 37154 40182 52873 55731 87061 105746 111462 158619 174122 258649 261183 317238 517298 522366 687349 775947 1374698 1551894 2062047 3362437 4124094 6724874 9570013 10087311 19140026 20174622 28710039 57420078 124410169 248820338 373230507 746461014