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47985894 = 232112961137
BaseRepresentation
bin1011011100001…
…1010011100110
310100021221021100
42313003103212
544241022034
64432300530
71121605365
oct267032346
9110257240
1047985894
11250a5570
12140a1746
139c31728
1465317dc
15432d099
hex2dc34e6

47985894 has 96 divisors (see below), whose sum is σ = 120126240. Its totient is φ = 13708800.

The previous prime is 47985877. The next prime is 47985907. The reversal of 47985894 is 49858974.

47985894 is a `hidden beast` number, since 479 + 85 + 8 + 94 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 47985894.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350194 + ... + 350330.

It is an arithmetic number, because the mean of its divisors is an integer number (1251315).

Almost surely, 247985894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47985894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60063120).

47985894 is an abundant number, since it is smaller than the sum of its proper divisors (72140346).

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

47985894 is a wasteful number, since it uses less digits than its factorization.

47985894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 243 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 47985894 is about 6927.1851426102. The cubic root of 47985894 is about 363.3885146576.

Subtracting 47985894 from its reverse (49858974), we obtain a triangular number (1873080 = T1935).

The spelling of 47985894 in words is "forty-seven million, nine hundred eighty-five thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 61 66 87 99 122 137 174 183 198 261 274 319 366 411 522 549 638 671 822 957 1098 1233 1342 1507 1769 1914 2013 2466 2871 3014 3538 3973 4026 4521 5307 5742 6039 7946 8357 9042 10614 11919 12078 13563 15921 16714 19459 23838 25071 27126 31842 35757 38918 43703 50142 58377 71514 75213 87406 91927 116754 131109 150426 175131 183854 242353 262218 275781 350262 393327 484706 551562 727059 786654 827343 1454118 1654686 2181177 2665883 4362354 5331766 7997649 15995298 23992947 47985894