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45350112 = 2531923247
BaseRepresentation
bin1010110011111…
…1110011100000
310011100000122210
42230333303200
543102200422
64300002120
71060320033
oct254776340
9104300583
1045350112
1123665235
1213230340
13951aab2
14604701a
153eac10c
hex2b3fce0

45350112 has 144 divisors (see below), whose sum is σ = 133781760. Its totient is φ = 13406976.

The previous prime is 45350099. The next prime is 45350143. The reversal of 45350112 is 21105354.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964873 + ... + 964919.

It is an arithmetic number, because the mean of its divisors is an integer number (929040).

Almost surely, 245350112 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 45350112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66890880).

45350112 is an abundant number, since it is smaller than the sum of its proper divisors (88431648).

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

45350112 is a wasteful number, since it uses less digits than its factorization.

45350112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 45350112 is about 6734.2491786390. The cubic root of 45350112 is about 356.6094010408.

Adding to 45350112 its reverse (21105354), we get a palindrome (66455466).

The spelling of 45350112 in words is "forty-five million, three hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 47 48 57 69 76 92 94 96 114 138 141 152 184 188 228 276 282 304 368 376 437 456 529 552 564 608 736 752 874 893 912 1058 1081 1104 1128 1311 1504 1587 1748 1786 1824 2116 2162 2208 2256 2622 2679 3174 3243 3496 3572 4232 4324 4512 5244 5358 6348 6486 6992 7144 8464 8648 10051 10488 10716 12696 12972 13984 14288 16928 17296 20102 20539 20976 21432 24863 25392 25944 28576 30153 34592 40204 41078 41952 42864 49726 50784 51888 60306 61617 74589 80408 82156 85728 99452 103776 120612 123234 149178 160816 164312 198904 241224 246468 298356 321632 328624 397808 472397 482448 492936 596712 657248 795616 944794 964896 985872 1193424 1417191 1889588 1971744 2386848 2834382 3779176 5668764 7558352 11337528 15116704 22675056 45350112