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2048268440 = 23551206711
BaseRepresentation
bin111101000010110…
…0001100010011000
312021202011211002002
41322011201202120
513143324042230
6535125300132
7101520665051
oct17205414230
95252154062
102048268440
11961215439
12491b64648
1326847757a
14156061728
15bec49545
hex7a161898

2048268440 has 16 divisors (see below), whose sum is σ = 4608604080. Its totient is φ = 819307360.

The previous prime is 2048268437. The next prime is 2048268451. The reversal of 2048268440 is 448628402.

It is a junction number, because it is equal to n+sod(n) for n = 2048268394 and 2048268403.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 25603316 + ... + 25603395.

It is an arithmetic number, because the mean of its divisors is an integer number (288037755).

Almost surely, 22048268440 is an apocalyptic number.

2048268440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048268440 is an abundant number, since it is smaller than the sum of its proper divisors (2560335640).

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

2048268440 is a wasteful number, since it uses less digits than its factorization.

2048268440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51206722 (or 51206718 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 2048268440 is about 45257.7997697634. The cubic root of 2048268440 is about 1269.9763237779.

The spelling of 2048268440 in words is "two billion, forty-eight million, two hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 51206711 102413422 204826844 256033555 409653688 512067110 1024134220 2048268440