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47303020 = 2253797659
BaseRepresentation
bin1011010001110…
…0100101101100
310022000020112201
42310130211230
544102144040
64405511244
71113032452
oct264344554
9108006481
1047303020
1124779506
1213a12524
139a5296b
1463d49d2
154245a9a
hex2d1c96c

47303020 has 48 divisors (see below), whose sum is σ = 103229280. Its totient is φ = 18192384.

The previous prime is 47302987. The next prime is 47303021. The reversal of 47303020 is 2030374.

47303020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×473030202 = 4475151402240800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47303021) 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, 71451 + ... + 72109.

It is an arithmetic number, because the mean of its divisors is an integer number (2150610).

Almost surely, 247303020 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 47303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51614640).

47303020 is an abundant number, since it is smaller than the sum of its proper divisors (55926260).

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

47303020 is a wasteful number, since it uses less digits than its factorization.

47303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 47303020 is about 6877.7190986547. The cubic root of 47303020 is about 361.6565120874.

Adding to 47303020 its reverse (2030374), we get a palindrome (49333394).

It can be divided in two parts, 4730 and 3020, that added together give a triangular number (7750 = T124).

The spelling of 47303020 in words is "forty-seven million, three hundred three thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 97 148 185 194 370 388 485 659 740 970 1318 1940 2636 3295 3589 6590 7178 13180 14356 17945 24383 35890 48766 63923 71780 97532 121915 127846 243830 255692 319615 487660 639230 1278460 2365151 4730302 9460604 11825755 23651510 47303020