Search a number
-
+
45295050 = 23521923691
BaseRepresentation
bin1010110011001…
…0010111001010
310011020020010110
42230302113022
543043420200
64254455150
71060000353
oct254622712
9104206113
1045295050
1123627929
12132044b6
1394cba08
146030d2a
153e9ab50
hex2b325ca

45295050 has 96 divisors (see below), whose sum is σ = 123563520. Its totient is φ = 10929600.

The previous prime is 45295049. The next prime is 45295051. The reversal of 45295050 is 5059254.

It is a happy number.

45295050 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 (45295049) and next prime (45295051).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45294999 and 45295017.

It is not an unprimeable number, because it can be changed into a prime (45295051) 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 47 ways as a sum of consecutive naturals, for example, 65205 + ... + 65895.

It is an arithmetic number, because the mean of its divisors is an integer number (1287120).

Almost surely, 245295050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45295050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61781760).

45295050 is an abundant number, since it is smaller than the sum of its proper divisors (78268470).

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

45295050 is a wasteful number, since it uses less digits than its factorization.

45295050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 45295050 is about 6730.1597306453. The cubic root of 45295050 is about 356.4650163985.

The spelling of 45295050 in words is "forty-five million, two hundred ninety-five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 23 25 30 38 46 50 57 69 75 95 114 115 138 150 190 230 285 345 437 475 570 575 690 691 874 950 1150 1311 1382 1425 1725 2073 2185 2622 2850 3450 3455 4146 4370 6555 6910 10365 10925 13110 13129 15893 17275 20730 21850 26258 31786 32775 34550 39387 47679 51825 65550 65645 78774 79465 95358 103650 131290 158930 196935 238395 301967 328225 393870 397325 476790 603934 656450 794650 905901 984675 1191975 1509835 1811802 1969350 2383950 3019670 4529505 7549175 9059010 15098350 22647525 45295050