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47301980 = 225112111019
BaseRepresentation
bin1011010001110…
…0010101011100
310022000012010012
42310130111130
544102130410
64405502352
71113026435
oct264342534
9108005105
1047301980
1124778750
1213a119b8
139a5234b
1463d448c
154245605
hex2d1c55c

47301980 has 48 divisors (see below), whose sum is σ = 108984960. Its totient is φ = 17102400.

The previous prime is 47301977. The next prime is 47301983. The reversal of 47301980 is 8910374.

47301980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47301977) and next prime (47301983).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47301983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45911 + ... + 46929.

It is an arithmetic number, because the mean of its divisors is an integer number (2270520).

Almost surely, 247301980 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 47301980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54492480).

47301980 is an abundant number, since it is smaller than the sum of its proper divisors (61682980).

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

47301980 is a wasteful number, since it uses less digits than its factorization.

47301980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 47301980 is about 6877.6434917783. The cubic root of 47301980 is about 361.6538616187.

The spelling of 47301980 in words is "forty-seven million, three hundred one thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1019 1055 2038 2110 2321 4076 4220 4642 5095 9284 10190 11209 11605 20380 22418 23210 44836 46420 56045 112090 215009 224180 430018 860036 1075045 2150090 2365099 4300180 4730198 9460396 11825495 23650990 47301980