Search a number
-
+
41516540 = 22513271173
BaseRepresentation
bin1001111001011…
…1110111111100
32220010020222122
42132113313330
541112012130
64041502112
71012612322
oct236276774
986106878
1041516540
1121486a9a
1211aa1938
1387a7c00
145729d12
1539a12e5
hex2797dfc

41516540 has 72 divisors (see below), whose sum is σ = 96290208. Its totient is φ = 15025920.

The previous prime is 41516537. The next prime is 41516549. The reversal of 41516540 is 4561514.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41516549) 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, 239894 + ... + 240066.

It is an arithmetic number, because the mean of its divisors is an integer number (1337364).

Almost surely, 241516540 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 41516540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48145104).

41516540 is an abundant number, since it is smaller than the sum of its proper divisors (54773668).

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

41516540 is a wasteful number, since it uses less digits than its factorization.

41516540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 41516540 is about 6443.3329884463. The cubic root of 41516540 is about 346.2637680407.

The spelling of 41516540 in words is "forty-one million, five hundred sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 169 173 260 284 338 346 355 676 692 710 845 865 923 1420 1690 1730 1846 2249 3380 3460 3692 4498 4615 8996 9230 11245 11999 12283 18460 22490 23998 24566 29237 44980 47996 49132 58474 59995 61415 116948 119990 122830 146185 159679 239980 245660 292370 319358 584740 638716 798395 1596790 2075827 3193580 4151654 8303308 10379135 20758270 41516540