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47199680 = 2651122353
BaseRepresentation
bin1011010000001…
…1010111000000
310021210222210022
42310003113000
544040342210
64403353012
71112122253
oct264032700
9107728708
1047199680
1124708900
1213982768
139a17908
1463a909a
154225155
hex2d035c0

47199680 has 168 divisors, whose sum is σ = 131344416. Its totient is φ = 16107520.

The previous prime is 47199673. The next prime is 47199689. The reversal of 47199680 is 8699174.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47199689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 890534 + ... + 890586.

It is an arithmetic number, because the mean of its divisors is an integer number (781812).

Almost surely, 247199680 is an apocalyptic number.

47199680 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 47199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65672208).

47199680 is an abundant number, since it is smaller than the sum of its proper divisors (84144736).

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

47199680 is a wasteful number, since it uses less digits than its factorization.

47199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 47199680 is about 6870.2023259872. The cubic root of 47199680 is about 361.3929571533.

The spelling of 47199680 in words is "forty-seven million, one hundred ninety-nine thousand, six hundred eighty".