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47960060 = 22517236133
BaseRepresentation
bin1011011011110…
…0111111111100
310100020121211112
42312330333330
544234210220
64431541152
71121440151
oct266747774
9110217745
1047960060
1125088115
121408a7b8
139c22a45
146526228
1543255c5
hex2dbcffc

47960060 has 48 divisors (see below), whose sum is σ = 111295296. Its totient is φ = 17267712.

The previous prime is 47960041. The next prime is 47960063. The reversal of 47960060 is 6006974.

It is a junction number, because it is equal to n+sod(n) for n = 47959999 and 47960026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47960063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4754 + ... + 10886.

It is an arithmetic number, because the mean of its divisors is an integer number (2318652).

Almost surely, 247960060 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 47960060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55647648).

47960060 is an abundant number, since it is smaller than the sum of its proper divisors (63335236).

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

47960060 is a wasteful number, since it uses less digits than its factorization.

47960060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6182 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 47960060 is about 6925.3202092033. The cubic root of 47960060 is about 363.3232908782.

The spelling of 47960060 in words is "forty-seven million, nine hundred sixty thousand, sixty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 6133 7820 12266 24532 30665 61330 104261 122660 141059 208522 282118 417044 521305 564236 705295 1042610 1410590 2085220 2398003 2821180 4796006 9592012 11990015 23980030 47960060