Search a number
-
+
45142734 = 23713292851
BaseRepresentation
bin1010110000110…
…1001011001110
310010221111012010
42230031023032
543024031414
64251322050
71055464320
oct254151316
9103844163
1045142734
112353344a
1213150326
1394775a0
145dd1610
153e6a959
hex2b0d2ce

45142734 has 64 divisors (see below), whose sum is σ = 114992640. Its totient is φ = 11491200.

The previous prime is 45142717. The next prime is 45142751. The reversal of 45142734 is 43724154.

45142734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45142717) and next prime (45142751).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14409 + ... + 17259.

It is an arithmetic number, because the mean of its divisors is an integer number (1796760).

Almost surely, 245142734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45142734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57496320).

45142734 is an abundant number, since it is smaller than the sum of its proper divisors (69849906).

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

45142734 is a wasteful number, since it uses less digits than its factorization.

45142734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905.

The product of its digits is 13440, while the sum is 30.

The square root of 45142734 is about 6718.8342738901. The cubic root of 45142734 is about 356.0649999144.

Adding to 45142734 its reverse (43724154), we get a palindrome (88866888).

The spelling of 45142734 in words is "forty-five million, one hundred forty-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 174 182 203 273 377 406 546 609 754 1131 1218 2262 2639 2851 5278 5702 7917 8553 15834 17106 19957 37063 39914 59871 74126 82679 111189 119742 165358 222378 248037 259441 496074 518882 578753 778323 1074827 1157506 1556646 1736259 2149654 3224481 3472518 6448962 7523789 15047578 22571367 45142734