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47291040 = 253454189
BaseRepresentation
bin1011010001100…
…1101010100000
310021222122010000
42310121222200
544101303130
64405340000
71112652516
oct264315240
9107878100
1047291040
1124770505
1213a07600
139a4a384
1463d04b6
154242260
hex2d19aa0

47291040 has 240 divisors, whose sum is σ = 172889640. Its totient is φ = 12165120.

The previous prime is 47291039. The next prime is 47291051. The reversal of 47291040 is 4019274.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17740944 + 29550096 = 4212^2 + 5436^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 47290995 and 47291013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 531316 + ... + 531404.

Almost surely, 247291040 is an apocalyptic number.

47291040 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 47291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86444820).

47291040 is an abundant number, since it is smaller than the sum of its proper divisors (125598600).

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

47291040 is a wasteful number, since it uses less digits than its factorization.

47291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 47291040 is about 6876.8481152342. The cubic root of 47291040 is about 361.6259783722.

The spelling of 47291040 in words is "forty-seven million, two hundred ninety-one thousand, forty".