Search a number
-
+
45942228 = 22341719439
BaseRepresentation
bin1010111101000…
…0010111010100
310012110002220000
42233100113110
543230122403
64320411300
71065334233
oct257202724
9105402800
1045942228
1123a2a092
1213476b30
139697467
14615cb1a
1540777a3
hex2bd05d4

45942228 has 120 divisors (see below), whose sum is σ = 134164800. Its totient is φ = 13623552.

The previous prime is 45942227. The next prime is 45942233. The reversal of 45942228 is 82224954.

45942228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459422282 = 4221376627207968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (46080) is a multiple of the sum of its prime divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 45942192 and 45942201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45942227) 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 39 ways as a sum of consecutive naturals, for example, 104433 + ... + 104871.

It is an arithmetic number, because the mean of its divisors is an integer number (1118040).

Almost surely, 245942228 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 45942228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67082400).

45942228 is an abundant number, since it is smaller than the sum of its proper divisors (88222572).

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

45942228 is a wasteful number, since it uses less digits than its factorization.

45942228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 45942228 is about 6778.0696367034. The cubic root of 45942228 is about 358.1547243769.

The spelling of 45942228 in words is "forty-five million, nine hundred forty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 306 323 324 342 439 459 513 612 646 684 878 918 969 1026 1292 1317 1377 1539 1756 1836 1938 2052 2634 2754 2907 3078 3876 3951 5268 5508 5814 6156 7463 7902 8341 8721 11628 11853 14926 15804 16682 17442 22389 23706 25023 26163 29852 33364 34884 35559 44778 47412 50046 52326 67167 71118 75069 89556 100092 104652 134334 141797 142236 150138 201501 225207 268668 283594 300276 403002 425391 450414 567188 604503 675621 806004 850782 900828 1209006 1276173 1351242 1701564 2418012 2552346 2702484 3828519 5104692 7657038 11485557 15314076 22971114 45942228