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47723117 = 1319210169
BaseRepresentation
bin1011011000001…
…1001001101101
310022210120210212
42312003021231
544204114432
64422512205
71116432311
oct266031155
9108716725
1047723117
1124a360a2
1213b95665
139b6bc40
1464a3b41
1542ca2b2
hex2d8326d

47723117 has 12 divisors (see below), whose sum is σ = 54246780. Its totient is φ = 41729472.

The previous prime is 47723113. The next prime is 47723119. The reversal of 47723117 is 71132774.

47723117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 27102436 + 20620681 = 5206^2 + 4541^2 .

It is not a de Polignac number, because 47723117 - 22 = 47723113 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47723113) 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 11 ways as a sum of consecutive naturals, for example, 392 + ... + 9777.

It is an arithmetic number, because the mean of its divisors is an integer number (4520565).

Almost surely, 247723117 is an apocalyptic number.

It is an amenable number.

47723117 is a deficient number, since it is larger than the sum of its proper divisors (6523663).

47723117 is a wasteful number, since it uses less digits than its factorization.

47723117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10220 (or 10201 counting only the distinct ones).

The product of its digits is 8232, while the sum is 32.

The square root of 47723117 is about 6908.1920210718. The cubic root of 47723117 is about 362.7239792184.

The spelling of 47723117 in words is "forty-seven million, seven hundred twenty-three thousand, one hundred seventeen".

Divisors: 1 13 19 247 361 4693 10169 132197 193211 2511743 3671009 47723117