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47201376 = 253539277
BaseRepresentation
bin1011010000001…
…1110001100000
310021211002010010
42310003301200
544040421001
64403404520
71112130225
oct264036140
9107732103
1047201376
112470a102
1213983740
139a18611
1463a994c
1542258d6
hex2d03c60

47201376 has 48 divisors (see below), whose sum is σ = 126255024. Its totient is φ = 15435264.

The previous prime is 47201351. The next prime is 47201383. The reversal of 47201376 is 67310274.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450 + ... + 9726.

It is an arithmetic number, because the mean of its divisors is an integer number (2630313).

Almost surely, 247201376 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 47201376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63127512).

47201376 is an abundant number, since it is smaller than the sum of its proper divisors (79053648).

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

47201376 is a wasteful number, since it uses less digits than its factorization.

47201376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9343 (or 9335 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 47201376 is about 6870.3257564689. The cubic root of 47201376 is about 361.3972856792.

The spelling of 47201376 in words is "forty-seven million, two hundred one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 9277 18554 27831 37108 55662 74216 111324 148432 222648 296864 445296 491681 890592 983362 1475043 1966724 2950086 3933448 5900172 7866896 11800344 15733792 23600688 47201376