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2048424820 = 2251331254147
BaseRepresentation
bin111101000011000…
…0111101101110100
312021202110202120221
41322012013231310
513143344043240
6535132504124
7101522216011
oct17206075564
95252422527
102048424820
11961311982
1249201b044
132685007c0
141560a2708
15bec7aa4a
hex7a187b74

2048424820 has 48 divisors (see below), whose sum is σ = 4782048768. Its totient is φ = 731940480.

The previous prime is 2048424817. The next prime is 2048424853. The reversal of 2048424820 is 284248402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119014 + ... + 135133.

It is an arithmetic number, because the mean of its divisors is an integer number (99626016).

Almost surely, 22048424820 is an apocalyptic number.

2048424820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048424820 is an abundant number, since it is smaller than the sum of its proper divisors (2733623948).

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

2048424820 is a wasteful number, since it uses less digits than its factorization.

2048424820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254200 (or 254198 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

The square root of 2048424820 is about 45259.5273947928. The cubic root of 2048424820 is about 1270.0086427585.

The spelling of 2048424820 in words is "two billion, forty-eight million, four hundred twenty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 4030 8060 254147 508294 1016588 1270735 2541470 3303911 5082940 6607822 7878557 13215644 15757114 16519555 31514228 33039110 39392785 66078220 78785570 102421241 157571140 204842482 409684964 512106205 1024212410 2048424820