Search a number
-
+
45261820 = 22517239557
BaseRepresentation
bin1010110010101…
…0001111111100
310011011112112201
42230222033330
543041334240
64254041244
71056501442
oct254521774
9104145481
1045261820
112360496a
12131a9224
1394b9856
146022b92
153e90d9a
hex2b2a3fc

45261820 has 48 divisors (see below), whose sum is σ = 101243520. Its totient is φ = 16937984.

The previous prime is 45261793. The next prime is 45261833. The reversal of 45261820 is 2816254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80982 + ... + 81538.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 245261820 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 45261820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50621760).

45261820 is an abundant number, since it is smaller than the sum of its proper divisors (55981700).

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

45261820 is a wasteful number, since it uses less digits than its factorization.

45261820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 45261820 is about 6727.6905398510. The cubic root of 45261820 is about 356.3778234243.

The spelling of 45261820 in words is "forty-five million, two hundred sixty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 239 340 478 557 956 1114 1195 2228 2390 2785 4063 4780 5570 8126 9469 11140 16252 18938 20315 37876 40630 47345 81260 94690 133123 189380 266246 532492 665615 1331230 2263091 2662460 4526182 9052364 11315455 22630910 45261820