Search a number
-
+
45349740 = 22335137613
BaseRepresentation
bin1010110011111…
…1101101101100
310011100000011000
42230333231230
543102142430
64300000300
71060315662
oct254775554
9104300130
1045349740
1123664a27
1213230090
13951a887
146046c32
153eabe60
hex2b3fb6c

45349740 has 96 divisors (see below), whose sum is σ = 142349760. Its totient is φ = 11985408.

The previous prime is 45349729. The next prime is 45349741. The reversal of 45349740 is 4794354.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45349695 and 45349704.

It is not an unprimeable number, because it can be changed into a prime (45349741) 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, 73674 + ... + 74286.

It is an arithmetic number, because the mean of its divisors is an integer number (1482810).

Almost surely, 245349740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45349740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71174880).

45349740 is an abundant number, since it is smaller than the sum of its proper divisors (97000020).

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

45349740 is a wasteful number, since it uses less digits than its factorization.

45349740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 45349740 is about 6734.2215585768. The cubic root of 45349740 is about 356.6084259674.

The spelling of 45349740 in words is "forty-five million, three hundred forty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 411 540 548 613 685 822 1226 1233 1370 1644 1839 2055 2452 2466 2740 3065 3678 3699 4110 4932 5517 6130 6165 7356 7398 8220 9195 11034 12260 12330 14796 16551 18390 18495 22068 24660 27585 33102 36780 36990 55170 66204 73980 82755 83981 110340 165510 167962 251943 331020 335924 419905 503886 755829 839810 1007772 1259715 1511658 1679620 2267487 2519430 3023316 3779145 4534974 5038860 7558290 9069948 11337435 15116580 22674870 45349740