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47675136 = 283232699
BaseRepresentation
bin1011010111011…
…1011100000000
310022201010222210
42311313130000
544201101021
64421502120
71116142365
oct265673400
9108633883
1047675136
1124a03043
1213b71940
139b53152
14649046c
1542bae76
hex2d77700

47675136 has 72 divisors (see below), whose sum is σ = 132451200. Its totient is φ = 15195136.

The previous prime is 47675119. The next prime is 47675141. The reversal of 47675136 is 63157674.

47675136 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 = 47675094 and 47675103.

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 7 ways as a sum of consecutive naturals, for example, 16315 + ... + 19013.

It is an arithmetic number, because the mean of its divisors is an integer number (1839600).

Almost surely, 247675136 is an apocalyptic number.

47675136 is a gapful number since it is divisible by the number (46) 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 47675136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66225600).

47675136 is an abundant number, since it is smaller than the sum of its proper divisors (84776064).

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

47675136 is a wasteful number, since it uses less digits than its factorization.

47675136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2727 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 47675136 is about 6904.7183867266. The cubic root of 47675136 is about 362.6023771085.

The spelling of 47675136 in words is "forty-seven million, six hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2699 2944 4416 5398 5888 8097 8832 10796 16194 17664 21592 32388 43184 62077 64776 86368 124154 129552 172736 186231 248308 259104 345472 372462 496616 518208 690944 744924 993232 1036416 1489848 1986464 2072832 2979696 3972928 5959392 7945856 11918784 15891712 23837568 47675136