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47993202 = 23319291613
BaseRepresentation
bin1011011100010…
…1000101110010
310100022022022000
42313011011302
544241240302
64432354430
71121635605
oct267050562
9110268260
1047993202
1125100004
12140a5a16
139c34b5a
14653433c
15433031c
hex2dc5172

47993202 has 64 divisors (see below), whose sum is σ = 116208000. Its totient is φ = 14624064.

The previous prime is 47993201. The next prime is 47993213. The reversal of 47993202 is 20239974.

47993202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47993201) 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 31 ways as a sum of consecutive naturals, for example, 28948 + ... + 30560.

It is an arithmetic number, because the mean of its divisors is an integer number (1815750).

Almost surely, 247993202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47993202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58104000).

47993202 is an abundant number, since it is smaller than the sum of its proper divisors (68214798).

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

47993202 is a wasteful number, since it uses less digits than its factorization.

47993202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 47993202 is about 6927.7126095126. The cubic root of 47993202 is about 363.4069611095.

It can be divided in two parts, 4799 and 3202, that added together give a triangular number (8001 = T126).

The spelling of 47993202 in words is "forty-seven million, nine hundred ninety-three thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 27 29 38 54 57 58 87 114 171 174 261 342 513 522 551 783 1026 1102 1566 1613 1653 3226 3306 4839 4959 9678 9918 14517 14877 29034 29754 30647 43551 46777 61294 87102 91941 93554 140331 183882 275823 280662 420993 551646 827469 841986 888763 1262979 1654938 1777526 2525958 2666289 5332578 7998867 15997734 23996601 47993202