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49862020 = 225131729389
BaseRepresentation
bin1011111000110…
…1010110000100
310110211020211111
42332031112010
5100231041040
64540414404
71143551215
oct276152604
9113736744
1049862020
112616708a
1214847404
13a43a670
14689d40c
15459ddea
hex2f8d584

49862020 has 96 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 16687104.

The previous prime is 49862017. The next prime is 49862047. The reversal of 49862020 is 2026894.

49862020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 17690436 + 32171584 = 4206^2 + 5672^2 .

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 127986 + ... + 128374.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 249862020 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 49862020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

49862020 is an abundant number, since it is smaller than the sum of its proper divisors (73970780).

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

49862020 is a wasteful number, since it uses less digits than its factorization.

49862020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 49862020 is about 7061.3044120757. The cubic root of 49862020 is about 368.0639558817.

The spelling of 49862020 in words is "forty-nine million, eight hundred sixty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 29 34 52 58 65 68 85 116 130 145 170 221 260 290 340 377 389 442 493 580 754 778 884 986 1105 1508 1556 1885 1945 1972 2210 2465 3770 3890 4420 4930 5057 6409 6613 7540 7780 9860 10114 11281 12818 13226 20228 22562 25285 25636 26452 32045 33065 45124 50570 56405 64090 66130 85969 101140 112810 128180 132260 146653 171938 191777 225620 293306 343876 383554 429845 586612 733265 767108 859690 958885 1466530 1719380 1917770 2493101 2933060 3835540 4986202 9972404 12465505 24931010 49862020