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61663536 = 24321123539
BaseRepresentation
bin1110101100111…
…0100100110000
311022000211110200
43223032210300
5111241213121
610041355200
71346063034
oct353164460
9138024420
1061663536
1131897800
1218798b00
13ca101cc
1482921c4
155630a26
hex3ace930

61663536 has 90 divisors (see below), whose sum is σ = 189740460. Its totient is φ = 18680640.

The previous prime is 61663513. The next prime is 61663543. The reversal of 61663536 is 63536616.

It is a happy number.

61663536 is a `hidden beast` number, since 6 + 16 + 635 + 3 + 6 = 666.

61663536 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61663536.

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 17 ways as a sum of consecutive naturals, for example, 15655 + ... + 19193.

Almost surely, 261663536 is an apocalyptic number.

61663536 is a gapful number since it is divisible by the number (66) 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 61663536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94870230).

61663536 is an abundant number, since it is smaller than the sum of its proper divisors (128076924).

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

61663536 is a wasteful number, since it uses less digits than its factorization.

61663536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3555 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 61663536 is about 7852.6133229645. The cubic root of 61663536 is about 395.0719006004.

Subtracting 61663536 from its reverse (63536616), we obtain a triangular number (1873080 = T1935).

The spelling of 61663536 in words is "sixty-one million, six hundred sixty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 3539 4356 5808 7078 8712 10617 14156 17424 21234 28312 31851 38929 42468 56624 63702 77858 84936 116787 127404 155716 169872 233574 254808 311432 350361 428219 467148 509616 622864 700722 856438 934296 1284657 1401444 1712876 1868592 2569314 2802888 3425752 3853971 5138628 5605776 6851504 7707942 10277256 15415884 20554512 30831768 61663536