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47831040 = 211335173
BaseRepresentation
bin1011011001110…
…1100000000000
310100000001212000
42312131200000
544221043130
64425104000
71120362045
oct266354000
9110001760
1047831040
1124aaa194
1214028000
139ba90ba
1464d11cc
1542ec260
hex2d9d800

47831040 has 192 divisors, whose sum is σ = 171007200. Its totient is φ = 12681216.

The previous prime is 47831027. The next prime is 47831059. The reversal of 47831040 is 4013874.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 47830995 and 47831013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276394 + ... + 276566.

Almost surely, 247831040 is an apocalyptic number.

47831040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85503600).

47831040 is an abundant number, since it is smaller than the sum of its proper divisors (123176160).

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

47831040 is a wasteful number, since it uses less digits than its factorization.

47831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 47831040 is about 6915.9988432619. The cubic root of 47831040 is about 362.9971996232.

The spelling of 47831040 in words is "forty-seven million, eight hundred thirty-one thousand, forty".