Search a number
-
+
29093526 = 2337116997
BaseRepresentation
bin110111011111…
…0111010010110
32000202002211000
41232332322112
524421443101
62515324130
7502201530
oct156767226
960662730
1029093526
1115471440
1298b0646
136048507
143c14850
15284a486
hex1bbee96

29093526 has 64 divisors (see below), whose sum is σ = 80616960. Its totient is φ = 7555680.

The previous prime is 29093497. The next prime is 29093557. The reversal of 29093526 is 62539092.

It is a super-2 number, since 2×290935262 = 1692866510225352, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660 + ... + 7656.

It is an arithmetic number, because the mean of its divisors is an integer number (1259640).

Almost surely, 229093526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29093526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40308480).

29093526 is an abundant number, since it is smaller than the sum of its proper divisors (51523434).

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

29093526 is a wasteful number, since it uses less digits than its factorization.

29093526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026 (or 7020 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 29093526 is about 5393.8414882160. The cubic root of 29093526 is about 307.5616057413.

The spelling of 29093526 in words is "twenty-nine million, ninety-three thousand, five hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 6997 13994 20991 41982 48979 62973 76967 97958 125946 146937 153934 188919 230901 293874 377838 440811 461802 538769 692703 881622 1077538 1322433 1385406 1616307 2078109 2644866 3232614 4156218 4848921 9697842 14546763 29093526