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490801050 = 232521764157
BaseRepresentation
bin11101010000010…
…000011110011010
31021012112021110200
4131100100132122
52001121113200
6120411323030
715106511565
oct3520203632
91235467420
10490801050
11232054103
12118450476
137a8b402c
144927d4dc
152d14c800
hex1d41079a

490801050 has 72 divisors (see below), whose sum is σ = 1396206396. Its totient is φ = 123179520.

The previous prime is 490801039. The next prime is 490801057. The reversal of 490801050 is 50108094.

It can be written as a sum of positive squares in 6 ways, for example, as 368985681 + 121815369 = 19209^2 + 11037^2 .

It is a super-2 number, since 2×4908010502 = 481771341362205000, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (490801057) 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 35 ways as a sum of consecutive naturals, for example, 24429 + ... + 39728.

Almost surely, 2490801050 is an apocalyptic number.

490801050 is an abundant number, since it is smaller than the sum of its proper divisors (905405346).

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

490801050 is a wasteful number, since it uses less digits than its factorization.

490801050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64192 (or 64184 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 490801050 is about 22154.0301074094. The cubic root of 490801050 is about 788.8028923503.

The spelling of 490801050 in words is "four hundred ninety million, eight hundred one 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 64157 128314 192471 320785 384942 577413 641570 962355 1090669 1154826 1603925 1924710 2181338 2887065 3207850 3272007 4811775 5453345 5774130 6544014 9623550 9816021 10906690 14435325 16360035 19632042 27266725 28870650 32720070 49080105 54533450 81800175 98160210 163600350 245400525 490801050