Search a number
-
+
59500056 = 23371122927
BaseRepresentation
bin1110001011111…
…0011000011000
311010221220201210
43202332120120
5110213000211
65523143120
71321512360
oct342763030
9133856653
1059500056
113064a300
1217b14aa0
13c433545
147c8b9a0
1553549a6
hex38be618

59500056 has 96 divisors (see below), whose sum is σ = 186923520. Its totient is φ = 15449280.

The previous prime is 59500043. The next prime is 59500099. The reversal of 59500056 is 65000595.

It is a happy number.

59500056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 59499996 and 59500032.

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 23 ways as a sum of consecutive naturals, for example, 18865 + ... + 21791.

It is an arithmetic number, because the mean of its divisors is an integer number (1947120).

Almost surely, 259500056 is an apocalyptic number.

59500056 is a gapful number since it is divisible by the number (56) 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 59500056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93461760).

59500056 is an abundant number, since it is smaller than the sum of its proper divisors (127423464).

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

59500056 is a wasteful number, since it uses less digits than its factorization.

59500056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 59500056 is about 7713.6279402108. The cubic root of 59500056 is about 390.3963885662.

The spelling of 59500056 in words is "fifty-nine million, five hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 2927 3388 5082 5854 6776 8781 10164 11708 17562 20328 20489 23416 32197 35124 40978 61467 64394 70248 81956 96591 122934 128788 163912 193182 225379 245868 257576 354167 386364 450758 491736 676137 708334 772728 901516 1062501 1352274 1416668 1803032 2125002 2479169 2704548 2833336 4250004 4958338 5409096 7437507 8500008 9916676 14875014 19833352 29750028 59500056