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47733868 = 22713711847
BaseRepresentation
bin1011011000010…
…1110001101100
310022211010120001
42312011301230
544204440433
64423034044
71116505540
oct266056154
9108733501
1047733868
1124a43186
1213b9b924
139b73ac0
1464a7a20
1542cd57d
hex2d85c6c

47733868 has 48 divisors (see below), whose sum is σ = 104315904. Its totient is φ = 18607680.

The previous prime is 47733859. The next prime is 47733883. The reversal of 47733868 is 86833774.

47733868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 24921 + ... + 26767.

It is an arithmetic number, because the mean of its divisors is an integer number (2173248).

Almost surely, 247733868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47733868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52157952).

47733868 is an abundant number, since it is smaller than the sum of its proper divisors (56582036).

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

47733868 is a wasteful number, since it uses less digits than its factorization.

47733868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1940 counting only the distinct ones).

The product of its digits is 677376, while the sum is 46.

The square root of 47733868 is about 6908.9701113842. The cubic root of 47733868 is about 362.7512151643.

The spelling of 47733868 in words is "forty-seven million, seven hundred thirty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 71 91 142 182 284 364 497 923 994 1846 1847 1988 3692 3694 6461 7388 12922 12929 24011 25844 25858 48022 51716 96044 131137 168077 262274 336154 524548 672308 917959 1704781 1835918 3409562 3671836 6819124 11933467 23866934 47733868