Search a number
-
+
45206420 = 22572163283
BaseRepresentation
bin1010110001110…
…0101110010100
310011001201112212
42230130232110
543033101140
64252532552
71056151100
oct254345624
9104051485
1045206420
1123577286
1213181158
13949a57c
14600a900
153e7e765
hex2b1cb94

45206420 has 72 divisors (see below), whose sum is σ = 111502944. Its totient is φ = 15349824.

The previous prime is 45206411. The next prime is 45206443. The reversal of 45206420 is 2460254.

45206420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 159599 + ... + 159881.

It is an arithmetic number, because the mean of its divisors is an integer number (1548652).

Almost surely, 245206420 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 45206420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55751472).

45206420 is an abundant number, since it is smaller than the sum of its proper divisors (66296524).

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

45206420 is a wasteful number, since it uses less digits than its factorization.

45206420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 45206420 is about 6723.5719673400. The cubic root of 45206420 is about 356.2323631363.

Adding to 45206420 its reverse (2460254), we get a palindrome (47666674).

The spelling of 45206420 in words is "forty-five million, two hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 163 196 245 283 326 490 566 652 815 980 1132 1141 1415 1630 1981 2282 2830 3260 3962 4564 5660 5705 7924 7987 9905 11410 13867 15974 19810 22820 27734 31948 39620 39935 46129 55468 69335 79870 92258 138670 159740 184516 230645 277340 322903 461290 645806 922580 1291612 1614515 2260321 3229030 4520642 6458060 9041284 11301605 22603210 45206420