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4935425805 = 3251723327689
BaseRepresentation
bin1001001100010110…
…01001111100001101
3110201221212121102100
410212023021330031
540101432111210
62133423145313
7233206266342
oct44613117415
913657777370
104935425805
112102a12502
12b58a45239
1360866c8cb
1434b6927c9
151dd44d5c0
hex1262c9f0d

4935425805 has 48 divisors (see below), whose sum is σ = 9097161840. Its totient is φ = 2466668544.

The previous prime is 4935425783. The next prime is 4935425809. The reversal of 4935425805 is 5085245394.

4935425805 is a `hidden beast` number, since 49 + 354 + 258 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 530979849 + 4404445956 = 23043^2 + 66366^2 .

It is not a de Polignac number, because 4935425805 - 26 = 4935425741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4935425809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164401 + ... + 192089.

It is an arithmetic number, because the mean of its divisors is an integer number (189524205).

Almost surely, 24935425805 is an apocalyptic number.

4935425805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4935425805 is a deficient number, since it is larger than the sum of its proper divisors (4161736035).

4935425805 is a wasteful number, since it uses less digits than its factorization.

4935425805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27950 (or 27947 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 4935425805 is about 70252.5857531237. The cubic root of 4935425805 is about 1702.5826724071.

The spelling of 4935425805 in words is "four billion, nine hundred thirty-five million, four hundred twenty-five thousand, eight hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 233 255 699 765 1165 2097 3495 3961 10485 11883 19805 27689 35649 59415 83067 138445 178245 249201 415335 470713 1246005 1412139 2353565 4236417 6451537 7060695 19354611 21182085 32257685 58063833 96773055 109676129 290319165 329028387 548380645 987085161 1645141935 4935425805