Search a number
-
+
41613480 = 2333553727
BaseRepresentation
bin1001111010111…
…1100010101000
32220022011222000
42132233202220
541123112410
64043531000
71013465046
oct236574250
986264860
1041613480
1121542907
1211b29a60
13881007c
145753396
1539bedc0
hex27af8a8

41613480 has 128 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 10872576.

The previous prime is 41613479. The next prime is 41613491. The reversal of 41613480 is 8431614.

41613480 is a `hidden beast` number, since 4 + 1 + 613 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56877 + ... + 57603.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 241613480 is an apocalyptic number.

41613480 is a gapful number since it is divisible by the number (40) 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 41613480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

41613480 is an abundant number, since it is smaller than the sum of its proper divisors (99909720).

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

41613480 is a wasteful number, since it uses less digits than its factorization.

41613480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41613480 is about 6450.8511066370. The cubic root of 41613480 is about 346.5330640662.

The spelling of 41613480 in words is "forty-one million, six hundred thirteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 424 477 530 540 636 727 795 954 1060 1080 1272 1431 1454 1590 1908 2120 2181 2385 2862 2908 3180 3635 3816 4362 4770 5724 5816 6360 6543 7155 7270 8724 9540 10905 11448 13086 14310 14540 17448 19080 19629 21810 26172 28620 29080 32715 38531 39258 43620 52344 57240 65430 77062 78516 87240 98145 115593 130860 154124 157032 192655 196290 231186 261720 308248 346779 385310 392580 462372 577965 693558 770620 785160 924744 1040337 1155930 1387116 1541240 1733895 2080674 2311860 2774232 3467790 4161348 4623720 5201685 6935580 8322696 10403370 13871160 20806740 41613480