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45961812 = 2232131753109
BaseRepresentation
bin1010111101010…
…1001001010100
310012111002202100
42233111021110
543231234222
64321042100
71065445311
oct257251124
9105432670
1045961812
1123a42876
1213486330
1396a3350
146165d08
15407d4ac
hex2bd5254

45961812 has 144 divisors (see below), whose sum is σ = 136216080. Its totient is φ = 12939264.

The previous prime is 45961787. The next prime is 45961819. The reversal of 45961812 is 21816954.

45961812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1285956 + 44675856 = 1134^2 + 6684^2 .

It is a super-2 number, since 2×459618122 = 4224976324646688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45961819) 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 47 ways as a sum of consecutive naturals, for example, 421614 + ... + 421722.

It is an arithmetic number, because the mean of its divisors is an integer number (945945).

Almost surely, 245961812 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 45961812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68108040).

45961812 is an abundant number, since it is smaller than the sum of its proper divisors (90254268).

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

45961812 is a wasteful number, since it uses less digits than its factorization.

45961812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 45961812 is about 6779.5141418836. The cubic root of 45961812 is about 358.2056078888.

The spelling of 45961812 in words is "forty-five million, nine hundred sixty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 53 68 78 102 106 109 117 153 156 159 204 212 218 221 234 306 318 327 436 442 468 477 612 636 654 663 689 884 901 954 981 1308 1326 1378 1417 1802 1853 1908 1962 1989 2067 2652 2703 2756 2834 3604 3706 3924 3978 4134 4251 5406 5559 5668 5777 6201 7412 7956 8109 8268 8502 10812 11118 11554 11713 12402 12753 16218 16677 17004 17331 22236 23108 23426 24089 24804 25506 32436 33354 34662 35139 46852 48178 51012 51993 66708 69324 70278 72267 75101 96356 98209 103986 105417 140556 144534 150202 196418 207972 210834 216801 225303 289068 294627 300404 392836 421668 433602 450606 589254 675909 867204 883881 901212 1178508 1276717 1351818 1767762 2553434 2703636 3535524 3830151 5106868 7660302 11490453 15320604 22980906 45961812