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47145672 = 2333731181
BaseRepresentation
bin1011001111011…
…0001011001000
310021201020201000
42303312023020
544032130142
64402255000
71111505640
oct263661310
9107636630
1047145672
1124681272
1213957460
1399c9162
146393520
15421414c
hex2cf62c8

47145672 has 64 divisors (see below), whose sum is σ = 149673600. Its totient is φ = 13469760.

The previous prime is 47145667. The next prime is 47145691. The reversal of 47145672 is 27654174.

47145672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 14079 + ... + 17102.

It is an arithmetic number, because the mean of its divisors is an integer number (2338650).

Almost surely, 247145672 is an apocalyptic number.

47145672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

47145672 is an abundant number, since it is smaller than the sum of its proper divisors (102527928).

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

47145672 is a wasteful number, since it uses less digits than its factorization.

47145672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31203 (or 31193 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 47145672 is about 6866.2706034644. The cubic root of 47145672 is about 361.2550638451.

It can be divided in two parts, 471 and 45672, that multiplied together give a palindrome (21511512).

The spelling of 47145672 in words is "forty-seven million, one hundred forty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 31181 62362 93543 124724 187086 218267 249448 280629 374172 436534 561258 654801 748344 841887 873068 1122516 1309602 1683774 1746136 1964403 2245032 2619204 3367548 3928806 5238408 5893209 6735096 7857612 11786418 15715224 23572836 47145672