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2048716460 = 225723136679
BaseRepresentation
bin111101000011100…
…1110111010101100
312021210000120122102
41322013032322230
513143432411320
6535143034232
7101524542200
oct17207167254
95253016572
102048716460
119614a0aaa
1249213b978
132685a347b
1415613ab00
15becd7175
hex7a1ceeac

2048716460 has 72 divisors (see below), whose sum is σ = 5021462880. Its totient is φ = 700068096.

The previous prime is 2048716459. The next prime is 2048716463. The reversal of 2048716460 is 646178402.

It is not an unprimeable number, because it can be changed into a prime (2048716463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303401 + ... + 310079.

It is an arithmetic number, because the mean of its divisors is an integer number (69742540).

Almost surely, 22048716460 is an apocalyptic number.

2048716460 is a gapful number since it is divisible by the number (20) 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 2048716460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510731440).

2048716460 is an abundant number, since it is smaller than the sum of its proper divisors (2972746420).

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

2048716460 is a wasteful number, since it uses less digits than its factorization.

2048716460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7015 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 2048716460 is about 45262.7491431972. The cubic root of 2048716460 is about 1270.0689114652.

The spelling of 2048716460 in words is "two billion, forty-eight million, seven hundred sixteen thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 313 490 626 980 1252 1565 2191 3130 4382 6260 6679 8764 10955 13358 15337 21910 26716 30674 33395 43820 46753 61348 66790 76685 93506 133580 153370 187012 233765 306740 327271 467530 654542 935060 1309084 1636355 2090527 3272710 4181054 6545420 8362108 10452635 14633689 20905270 29267378 41810540 58534756 73168445 102435823 146336890 204871646 292673780 409743292 512179115 1024358230 2048716460