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47830016 = 210133593
BaseRepresentation
bin1011011001110…
…1010000000000
310100000000110002
42312131100000
544221030031
64425055132
71120356053
oct266352000
9110000402
1047830016
1124aa9443
12140274a8
139ba87b0
1464d0a9a
1542ebccb
hex2d9d400

47830016 has 44 divisors (see below), whose sum is σ = 102996852. Its totient is φ = 22069248.

The previous prime is 47830001. The next prime is 47830031. The reversal of 47830016 is 61003874.

It is an interprime number because it is at equal distance from previous prime (47830001) and next prime (47830031).

It can be written as a sum of positive squares in 2 ways, for example, as 10863616 + 36966400 = 3296^2 + 6080^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11516 + ... + 15108.

Almost surely, 247830016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51498426).

47830016 is an abundant number, since it is smaller than the sum of its proper divisors (55166836).

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

47830016 is a wasteful number, since it uses less digits than its factorization.

47830016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 47830016 is about 6915.9248116214. The cubic root of 47830016 is about 362.9946091730.

The spelling of 47830016 in words is "forty-seven million, eight hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3328 3593 6656 7186 13312 14372 28744 46709 57488 93418 114976 186836 229952 373672 459904 747344 919808 1494688 1839616 2989376 3679232 5978752 11957504 23915008 47830016