Search a number
-
+
41812092 = 2233727901
BaseRepresentation
bin1001111110000…
…0000001111100
32220200021102000
42133200001330
541200441332
64052102300
71015253100
oct237400174
986607360
1041812092
1121669053
1212004990
13887c5aa
1457a5900
153a0db7c
hex27e007c

41812092 has 72 divisors (see below), whose sum is σ = 126115920. Its totient is φ = 11944800.

The previous prime is 41812079. The next prime is 41812097. The reversal of 41812092 is 29021814.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41812097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1342 + ... + 9242.

It is an arithmetic number, because the mean of its divisors is an integer number (1751610).

Almost surely, 241812092 is an apocalyptic number.

41812092 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41812092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63057960).

41812092 is an abundant number, since it is smaller than the sum of its proper divisors (84303828).

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

41812092 is a wasteful number, since it uses less digits than its factorization.

41812092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7928 (or 7913 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 41812092 is about 6466.2270297292. The cubic root of 41812092 is about 347.0834980266.

Subtracting from 41812092 its product of nonzero digits (1152), we obtain a triangular number (41810940 = T9144).

The spelling of 41812092 in words is "forty-one million, eight hundred twelve thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 7901 15802 23703 31604 47406 55307 71109 94812 110614 142218 165921 213327 221228 284436 331842 387149 426654 497763 663684 774298 853308 995526 1161447 1493289 1548596 1991052 2322894 2986578 3484341 4645788 5973156 6968682 10453023 13937364 20906046 41812092