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2048667488 = 257313307
BaseRepresentation
bin111101000011100…
…0010111101100000
312021202221002110122
41322013002331200
513143424324423
6535142015412
7101524246340
oct17207027540
95252832418
102048667488
1196146822a
12492117568
132685870aa
14156126d20
15becc78c8
hex7a1c2f60

2048667488 has 96 divisors (see below), whose sum is σ = 4778661888. Its totient is φ = 846910080.

The previous prime is 2048667487. The next prime is 2048667499. The reversal of 2048667488 is 8847668402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048667487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6673031 + ... + 6673337.

It is an arithmetic number, because the mean of its divisors is an integer number (49777728).

Almost surely, 22048667488 is an apocalyptic number.

2048667488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048667488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389330944).

2048667488 is an abundant number, since it is smaller than the sum of its proper divisors (2729994400).

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

2048667488 is an frugal number, since it uses more digits than its factorization.

2048667488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 53.

The square root of 2048667488 is about 45262.2081653116. The cubic root of 2048667488 is about 1270.0587915826.

The spelling of 2048667488 in words is "two billion, forty-eight million, six hundred sixty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 307 434 496 614 868 961 992 1228 1736 1922 2149 2456 3472 3844 4298 4912 6727 6944 7688 8596 9517 9824 13454 15376 17192 19034 26908 29791 30752 34384 38068 53816 59582 66619 68768 76136 107632 119164 133238 152272 208537 215264 238328 266476 295027 304544 417074 476656 532952 590054 834148 953312 1065904 1180108 1668296 2065189 2131808 2360216 3336592 4130378 4720432 6673184 8260756 9145837 9440864 16521512 18291674 33043024 36583348 64020859 66086048 73166696 128041718 146333392 256083436 292666784 512166872 1024333744 2048667488