Search a number
-
+
45301540 = 2253122357
BaseRepresentation
bin1010110011001…
…1111100100100
310011020120000211
42230303330210
543044122130
64254545204
71060025314
oct254637444
9104216024
1045301540
1123631799
1213208204
13950195b
146033444
153e9ca2a
hex2b33f24

45301540 has 36 divisors (see below), whose sum is σ = 98342748. Its totient is φ = 17528640.

The previous prime is 45301511. The next prime is 45301547. The reversal of 45301540 is 4510354.

It can be written as a sum of positive squares in 2 ways, for example, as 12054784 + 33246756 = 3472^2 + 5766^2 .

It is not an unprimeable number, because it can be changed into a prime (45301547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18042 + ... + 20398.

It is an arithmetic number, because the mean of its divisors is an integer number (2731743).

Almost surely, 245301540 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 45301540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49171374).

45301540 is an abundant number, since it is smaller than the sum of its proper divisors (53041208).

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

45301540 is a wasteful number, since it uses less digits than its factorization.

45301540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 45301540 is about 6730.6418713225. The cubic root of 45301540 is about 356.4820406832.

Adding to 45301540 its reverse (4510354), we get a palindrome (49811894).

The spelling of 45301540 in words is "forty-five million, three hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1922 2357 3844 4714 4805 9428 9610 11785 19220 23570 47140 73067 146134 292268 365335 730670 1461340 2265077 4530154 9060308 11325385 22650770 45301540