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420115050 = 232521754917
BaseRepresentation
bin11001000010100…
…111001001101010
31002021112001111200
4121002213021222
51330022140200
6105404305030
713260630135
oct3102471152
91067461450
10420115050
111a6164723
12b8842176
13690651b4
143db1d21c
1526d38800
hex190a726a

420115050 has 72 divisors (see below), whose sum is σ = 1195125516. Its totient is φ = 105438720.

The previous prime is 420115049. The next prime is 420115081. The reversal of 420115050 is 50511024.

It can be written as a sum of positive squares in 6 ways, for example, as 180391761 + 239723289 = 13431^2 + 15483^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 19809 + ... + 35108.

Almost surely, 2420115050 is an apocalyptic number.

420115050 is an abundant number, since it is smaller than the sum of its proper divisors (775010466).

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

420115050 is a wasteful number, since it uses less digits than its factorization.

420115050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54952 (or 54944 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 420115050 is about 20496.7082723056. The cubic root of 420115050 is about 748.9556130162.

Adding to 420115050 its reverse (50511024), we get a palindrome (470626074).

The spelling of 420115050 in words is "four hundred twenty million, one hundred fifteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 7650 54917 109834 164751 274585 329502 494253 549170 823755 933589 988506 1372925 1647510 1867178 2471265 2745850 2800767 4118775 4667945 4942530 5601534 8237550 8402301 9335890 12356325 14003835 16804602 23339725 24712650 28007670 42011505 46679450 70019175 84023010 140038350 210057525 420115050