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41112500 = 2255111323
BaseRepresentation
bin1001110011010…
…1001110110100
32212100201202012
42130311032310
541011100000
64025103352
71006310342
oct234651664
985321665
1041112500
1121230480
1211927b58
138696030
145662992
153921735
hex27353b4

41112500 has 144 divisors (see below), whose sum is σ = 110242944. Its totient is φ = 13200000.

The previous prime is 41112499. The next prime is 41112509. The reversal of 41112500 is 521114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41112509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1787489 + ... + 1787511.

It is an arithmetic number, because the mean of its divisors is an integer number (765576).

Almost surely, 241112500 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 41112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55121472).

41112500 is an abundant number, since it is smaller than the sum of its proper divisors (69130444).

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

41112500 is a wasteful number, since it uses less digits than its factorization.

41112500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 41112500 is about 6411.9029936517. The cubic root of 41112500 is about 345.1368217379.

Adding to 41112500 its reverse (521114), we get a palindrome (41633614).

The spelling of 41112500 in words is "forty-one million, one hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 11 13 20 22 23 25 26 44 46 50 52 55 65 92 100 110 115 125 130 143 220 230 250 253 260 275 286 299 325 460 500 506 550 572 575 598 625 650 715 1012 1100 1150 1196 1250 1265 1300 1375 1430 1495 1625 2300 2500 2530 2750 2860 2875 2990 3125 3250 3289 3575 5060 5500 5750 5980 6250 6325 6500 6578 6875 7150 7475 8125 11500 12500 12650 13156 13750 14300 14375 14950 16250 16445 17875 25300 27500 28750 29900 31625 32500 32890 34375 35750 37375 40625 57500 63250 65780 68750 71500 71875 74750 81250 82225 89375 126500 137500 143750 149500 158125 162500 164450 178750 186875 287500 316250 328900 357500 373750 411125 446875 632500 747500 790625 822250 893750 934375 1581250 1644500 1787500 1868750 2055625 3162500 3737500 4111250 8222500 10278125 20556250 41112500