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47485440 = 29345229
BaseRepresentation
bin1011010100100…
…1001000000000
310022100111210000
42311021020000
544124013230
64413440000
71114422342
oct265111000
9108314700
1047485440
1124893572
1213aa0000
139ab79c2
146441292
15427eb60
hex2d49200

47485440 has 200 divisors, whose sum is σ = 170820540. Its totient is φ = 12607488.

The previous prime is 47485429. The next prime is 47485447. The reversal of 47485440 is 4458474.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 1679616 = 6768^2 + 1296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47485395 and 47485404.

It is not an unprimeable number, because it can be changed into a prime (47485447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207246 + ... + 207474.

Almost surely, 247485440 is an apocalyptic number.

47485440 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 47485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85410270).

47485440 is an abundant number, since it is smaller than the sum of its proper divisors (123335100).

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

47485440 is an equidigital number, since it uses as much as digits as its factorization.

47485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 47485440 is about 6890.9680016671. The cubic root of 47485440 is about 362.1208147563.

The spelling of 47485440 in words is "forty-seven million, four hundred eighty-five thousand, four hundred forty".