Search a number
-
+
45939216 = 2438631109
BaseRepresentation
bin1010111100111…
…1101000010000
310012102221202110
42233033220100
543230023331
64320345320
71065322401
oct257175020
9105387673
1045939216
1123a278a4
1213475240
139695c8b
14615b9a8
154076946
hex2bcfa10

45939216 has 40 divisors (see below), whose sum is σ = 118920960. Its totient is φ = 15281536.

The previous prime is 45939209. The next prime is 45939217. The reversal of 45939216 is 61293954.

45939216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459392162 = 4220823133389312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45939217) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40870 + ... + 41978.

It is an arithmetic number, because the mean of its divisors is an integer number (2973024).

Almost surely, 245939216 is an apocalyptic number.

It is an amenable number.

45939216 is an abundant number, since it is smaller than the sum of its proper divisors (72981744).

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

45939216 is a wasteful number, since it uses less digits than its factorization.

45939216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1977 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 45939216 is about 6777.8474459079. The cubic root of 45939216 is about 358.1468972597.

The spelling of 45939216 in words is "forty-five million, nine hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 863 1109 1726 2218 2589 3327 3452 4436 5178 6654 6904 8872 10356 13308 13808 17744 20712 26616 41424 53232 957067 1914134 2871201 3828268 5742402 7656536 11484804 15313072 22969608 45939216