Search a number
-
+
41264010 = 23251959409
BaseRepresentation
bin1001110101101…
…0001110001010
32212122102120200
42131122032022
541030422020
64032233030
71010511144
oct235321612
985572520
1041264010
1121324297
121199b776
138719c98
1456a1c94
153951590
hex275a38a

41264010 has 96 divisors (see below), whose sum is σ = 115128000. Its totient is φ = 10222848.

The previous prime is 41264009. The next prime is 41264023. The reversal of 41264010 is 1046214.

41264010 is a `hidden beast` number, since 4 + 12 + 640 + 10 = 666.

41264010 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 (18).

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 47 ways as a sum of consecutive naturals, for example, 100686 + ... + 101094.

It is an arithmetic number, because the mean of its divisors is an integer number (1199250).

Almost surely, 241264010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41264010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57564000).

41264010 is an abundant number, since it is smaller than the sum of its proper divisors (73863990).

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

41264010 is a wasteful number, since it uses less digits than its factorization.

41264010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 41264010 is about 6423.7068737607. The cubic root of 41264010 is about 345.5602742565.

The spelling of 41264010 in words is "forty-one million, two hundred sixty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 59 90 95 114 118 171 177 190 285 295 342 354 409 531 570 590 818 855 885 1062 1121 1227 1710 1770 2045 2242 2454 2655 3363 3681 4090 5310 5605 6135 6726 7362 7771 10089 11210 12270 15542 16815 18405 20178 23313 24131 33630 36810 38855 46626 48262 50445 69939 72393 77710 100890 116565 120655 139878 144786 217179 233130 241310 349695 361965 434358 458489 699390 723930 916978 1085895 1375467 2171790 2292445 2750934 4126401 4584890 6877335 8252802 13754670 20632005 41264010