Search a number
-
+
47014506 = 2347113769
BaseRepresentation
bin1011001101011…
…0001001101010
310021110120210000
42303112021222
544013431011
64355403430
71110421350
oct263261152
9107416700
1047014506
11245a1770
12138b3576
139981546
14635b7d0
1541da356
hex2cd626a

47014506 has 80 divisors (see below), whose sum is σ = 131376960. Its totient is φ = 12208320.

The previous prime is 47014501. The next prime is 47014547. The reversal of 47014506 is 60541074.

47014506 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 47014506.

It is not an unprimeable number, because it can be changed into a prime (47014501) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 10590 + ... + 14358.

It is an arithmetic number, because the mean of its divisors is an integer number (1642212).

Almost surely, 247014506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47014506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65688480).

47014506 is an abundant number, since it is smaller than the sum of its proper divisors (84362454).

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

47014506 is a wasteful number, since it uses less digits than its factorization.

47014506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 47014506 is about 6856.7124775653. The cubic root of 47014506 is about 360.9197315928.

The spelling of 47014506 in words is "forty-seven million, fourteen thousand, five hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 378 462 567 594 693 891 1134 1386 1782 2079 3769 4158 6237 7538 11307 12474 22614 26383 33921 41459 52766 67842 79149 82918 101763 124377 158298 203526 237447 248754 290213 305289 373131 474894 580426 610578 712341 746262 870639 1119393 1424682 1741278 2137023 2238786 2611917 3358179 4274046 5223834 6716358 7835751 15671502 23507253 47014506