Search a number
-
+
41858000052 = 223115922723677
BaseRepresentation
bin100110111110111011…
…100110010010110100
311000001011012201102020
4212332323212102310
51141211122000202
631121310113140
73011165062401
oct467673462264
9130034181366
1041858000052
111682a827a80
1281421ab7b0
133c40c9c18b
1420512612a8
15114eb9a5bc
hex9beee64b4

41858000052 has 96 divisors (see below), whose sum is σ = 108835453440. Its totient is φ = 12413800320.

The previous prime is 41858000029. The next prime is 41858000059. The reversal of 41858000052 is 25000085814.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 41857999977 and 41858000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41858000059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1756038 + ... + 1779714.

It is an arithmetic number, because the mean of its divisors is an integer number (1133702640).

Almost surely, 241858000052 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 41858000052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54417726720).

41858000052 is an abundant number, since it is smaller than the sum of its proper divisors (66977453388).

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

41858000052 is a wasteful number, since it uses less digits than its factorization.

41858000052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23981 (or 23979 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

Adding to 41858000052 its reverse (25000085814), we get a palindrome (66858085866).

The spelling of 41858000052 in words is "forty-one billion, eight hundred fifty-eight million, fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 227 236 354 454 649 681 708 908 1298 1362 1947 2497 2596 2724 3894 4994 7491 7788 9988 13393 14982 23677 26786 29964 40179 47354 53572 71031 80358 94708 142062 147323 160716 260447 284124 294646 441969 520894 589292 781341 883938 1041788 1396943 1562682 1767876 2793886 3125364 4190829 5374679 5587772 8381658 10749358 15366373 16124037 16763316 21498716 30732746 32248074 46099119 59121469 61465492 64496148 92198238 118242938 177364407 184396476 236485876 317106061 354728814 634212122 709457628 951318183 1268424244 1902636366 3488166671 3805272732 6976333342 10464500013 13952666684 20929000026 41858000052