Search a number
-
+
45605742 = 23713101827
BaseRepresentation
bin1010110111111…
…0001101101110
310011211000022120
42231332031232
543133340432
64305253410
71062433230
oct255761556
9104730276
1045605742
112381a2a6
1213334266
1395aa260
1460b2250
15400cc2c
hex2b7e36e

45605742 has 64 divisors (see below), whose sum is σ = 113508864. Its totient is φ = 11894400.

The previous prime is 45605737. The next prime is 45605753. The reversal of 45605742 is 24750654.

It is a congruent number.

It is an unprimeable number.

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, 54733 + ... + 55559.

It is an arithmetic number, because the mean of its divisors is an integer number (1773576).

Almost surely, 245605742 is an apocalyptic number.

45605742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45605742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56754432).

45605742 is an abundant number, since it is smaller than the sum of its proper divisors (67903122).

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

45605742 is a wasteful number, since it uses less digits than its factorization.

45605742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953.

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 45605742 is about 6753.2023514774. The cubic root of 45605742 is about 357.2781925649.

The spelling of 45605742 in words is "forty-five million, six hundred five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 101 182 202 273 303 546 606 707 827 1313 1414 1654 2121 2481 2626 3939 4242 4962 5789 7878 9191 10751 11578 17367 18382 21502 27573 32253 34734 55146 64506 75257 83527 150514 167054 225771 250581 451542 501162 584689 1085851 1169378 1754067 2171702 3257553 3508134 6515106 7600957 15201914 22802871 45605742