Search a number
-
+
41914530 = 2335767331
BaseRepresentation
bin1001111111100…
…1000010100010
32220212110221000
42133321002202
541212231110
64054212430
71016160540
oct237710242
986773830
1041914530
1121729009
1212054116
1388b70c8
1457d0d90
153a2e1c0
hex27f90a2

41914530 has 128 divisors (see below), whose sum is σ = 130037760. Its totient is φ = 9408960.

The previous prime is 41914519. The next prime is 41914547. The reversal of 41914530 is 3541914.

41914530 is a `hidden beast` number, since 41 + 91 + 4 + 530 = 666.

41914530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 41914494 and 41914503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126465 + ... + 126795.

It is an arithmetic number, because the mean of its divisors is an integer number (1015920).

Almost surely, 241914530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41914530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65018880).

41914530 is an abundant number, since it is smaller than the sum of its proper divisors (88123230).

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

41914530 is a wasteful number, since it uses less digits than its factorization.

41914530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 41914530 is about 6474.1431865537. The cubic root of 41914530 is about 347.3667138890.

The spelling of 41914530 in words is "forty-one million, nine hundred fourteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 67 70 90 105 126 134 135 189 201 210 270 315 331 335 378 402 469 603 630 662 670 938 945 993 1005 1206 1407 1655 1809 1890 1986 2010 2317 2345 2814 2979 3015 3310 3618 4221 4634 4690 4965 5958 6030 6951 7035 8442 8937 9045 9930 11585 12663 13902 14070 14895 17874 18090 20853 21105 22177 23170 25326 29790 34755 41706 42210 44354 44685 62559 63315 66531 69510 89370 104265 110885 125118 126630 133062 155239 199593 208530 221770 310478 312795 332655 399186 465717 598779 625590 665310 776195 931434 997965 1197558 1397151 1552390 1995930 2328585 2794302 2993895 4191453 4657170 5987790 6985755 8382906 13971510 20957265 41914530