Search a number
-
+
45416220 = 22357310369
BaseRepresentation
bin1010110100111…
…1111100011100
310011110101100020
42231033330130
543111304340
64301232140
71061013543
oct255177434
9104411306
1045416220
11236aa973
1213262650
139541c05
14606315a
153ec19d0
hex2b4ff1c

45416220 has 48 divisors (see below), whose sum is σ = 128919840. Its totient is φ = 11943936.

The previous prime is 45416219. The next prime is 45416227. The reversal of 45416220 is 2261454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45416227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805 + ... + 9564.

It is an arithmetic number, because the mean of its divisors is an integer number (2685830).

Almost surely, 245416220 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 45416220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64459920).

45416220 is an abundant number, since it is smaller than the sum of its proper divisors (83503620).

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

45416220 is a wasteful number, since it uses less digits than its factorization.

45416220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10454 (or 10452 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45416220 is about 6739.1557334729. The cubic root of 45416220 is about 356.7825964116.

Adding to 45416220 its reverse (2261454), we get a palindrome (47677674).

The spelling of 45416220 in words is "forty-five million, four hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 10369 20738 31107 41476 51845 62214 103690 124428 155535 207380 311070 622140 756937 1513874 2270811 3027748 3784685 4541622 7569370 9083244 11354055 15138740 22708110 45416220