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47031864 = 23311178151
BaseRepresentation
bin1011001101101…
…0011000111000
310021111110120220
42303122120320
544020004424
64400020040
71110523065
oct263323070
9107443526
1047031864
1124603810
1213901620
139989409
146363c6c
1541e0579
hex2cda638

47031864 has 32 divisors (see below), whose sum is σ = 128269440. Its totient is φ = 14252000.

The previous prime is 47031863. The next prime is 47031871. The reversal of 47031864 is 46813074.

47031864 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47031863) 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 7 ways as a sum of consecutive naturals, for example, 88812 + ... + 89339.

It is an arithmetic number, because the mean of its divisors is an integer number (4008420).

Almost surely, 247031864 is an apocalyptic number.

47031864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

47031864 is an abundant number, since it is smaller than the sum of its proper divisors (81237576).

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

47031864 is a wasteful number, since it uses less digits than its factorization.

47031864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178171 (or 178167 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 47031864 is about 6857.9781276992. The cubic root of 47031864 is about 360.9641439412.

It can be divided in two parts, 47031 and 864, that added together give a triangular number (47895 = T309).

The spelling of 47031864 in words is "forty-seven million, thirty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 178151 356302 534453 712604 1068906 1425208 1959661 2137812 3919322 4275624 5878983 7838644 11757966 15677288 23515932 47031864