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47528020 = 22541149389
BaseRepresentation
bin1011010101001…
…1100001010100
310022102200012001
42311103201110
544131344040
64414405044
71114660441
oct265234124
9108380161
1047528020
1124912561
1213b00784
139b011b7
1464529c8
15428c59a
hex2d53854

47528020 has 48 divisors (see below), whose sum is σ = 103194000. Its totient is φ = 18375680.

The previous prime is 47528003. The next prime is 47528021. The reversal of 47528020 is 2082574.

It can be written as a sum of positive squares in 8 ways, for example, as 20196036 + 27331984 = 4494^2 + 5228^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47528020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47528021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121986 + ... + 122374.

It is an arithmetic number, because the mean of its divisors is an integer number (2149875).

Almost surely, 247528020 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 47528020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51597000).

47528020 is an abundant number, since it is smaller than the sum of its proper divisors (55665980).

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

47528020 is a wasteful number, since it uses less digits than its factorization.

47528020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 47528020 is about 6894.0568608041. The cubic root of 47528020 is about 362.2290198386.

The spelling of 47528020 in words is "forty-seven million, five hundred twenty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 149 164 205 298 389 410 596 745 778 820 1490 1556 1945 2980 3890 6109 7780 12218 15949 24436 30545 31898 57961 61090 63796 79745 115922 122180 159490 231844 289805 318980 579610 1159220 2376401 4752802 9505604 11882005 23764010 47528020