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47430020 = 22511792729
BaseRepresentation
bin1011010011101…
…1100110000100
310022020200202102
42310323212010
544120230040
64412331232
71114101641
oct264734604
9108220672
1047430020
1124855970
1213a73b18
139a98701
146428dc8
15426d515
hex2d3b984

47430020 has 48 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 17022720.

The previous prime is 47430007. The next prime is 47430029. The reversal of 47430020 is 2003474.

It is a happy number.

47430020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 47429974 and 47430001.

It is not an unprimeable number, because it can be changed into a prime (47430029) 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, 16016 + ... + 18744.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 247430020 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 47430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

47430020 is an abundant number, since it is smaller than the sum of its proper divisors (62643580).

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

47430020 is a wasteful number, since it uses less digits than its factorization.

47430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 47430020 is about 6886.9456219721. The cubic root of 47430020 is about 361.9798835010.

Adding to 47430020 its reverse (2003474), we get a palindrome (49433494).

The spelling of 47430020 in words is "forty-seven million, four hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 2729 3476 4345 5458 8690 10916 13645 17380 27290 30019 54580 60038 120076 150095 215591 300190 431182 600380 862364 1077955 2155910 2371501 4311820 4743002 9486004 11857505 23715010 47430020