Search a number
-
+
45258836 = 22719241353
BaseRepresentation
bin1010110010100…
…1100001010100
310011011101110012
42230221201110
543041240321
64254015352
71056456650
oct254514124
9104141405
1045258836
11236026a7
12131a7558
1394b839c
146021a60
153e9005b
hex2b29854

45258836 has 48 divisors (see below), whose sum is σ = 95948160. Its totient is φ = 18247680.

The previous prime is 45258827. The next prime is 45258883. The reversal of 45258836 is 63885254.

It is a super-3 number, since 3×452588363 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45258793 and 45258802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128036 + ... + 128388.

It is an arithmetic number, because the mean of its divisors is an integer number (1998920).

Almost surely, 245258836 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 45258836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47974080).

45258836 is an abundant number, since it is smaller than the sum of its proper divisors (50689324).

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

45258836 is a wasteful number, since it uses less digits than its factorization.

45258836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 622 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The square root of 45258836 is about 6727.4687661854. The cubic root of 45258836 is about 356.3699915489.

The spelling of 45258836 in words is "forty-five million, two hundred fifty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 241 266 353 482 532 706 964 1412 1687 2471 3374 4579 4942 6707 6748 9158 9884 13414 18316 26828 32053 46949 64106 85073 93898 128212 170146 187796 340292 595511 1191022 1616387 2382044 3232774 6465548 11314709 22629418 45258836