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2048598060 = 2235239373383
BaseRepresentation
bin111101000011011…
…0010000000101100
312021202210120020020
41322012302000230
513143420114220
6535140322140
7101523540045
oct17206620054
95252716206
102048598060
11961420053
124920a3350
13268561602
141561098cc
15becb2040
hex7a1b202c

2048598060 has 96 divisors (see below), whose sum is σ = 5790597120. Its totient is φ = 541132032.

The previous prime is 2048598053. The next prime is 2048598061. The reversal of 2048598060 is 608958402.

2048598060 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20485980602 = 8393508022871527200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2048598061) 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 31 ways as a sum of consecutive naturals, for example, 5348629 + ... + 5349011.

It is an arithmetic number, because the mean of its divisors is an integer number (60318720).

Almost surely, 22048598060 is an apocalyptic number.

2048598060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048598060 is an abundant number, since it is smaller than the sum of its proper divisors (3741999060).

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

2048598060 is a wasteful number, since it uses less digits than its factorization.

2048598060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2048598060 is about 45261.4412055118. The cubic root of 2048598060 is about 1270.0444442669.

The spelling of 2048598060 in words is "two billion, forty-eight million, five hundred ninety-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 239 373 383 478 717 746 766 956 1119 1149 1195 1434 1492 1532 1865 1915 2238 2298 2390 2868 3585 3730 3830 4476 4596 4780 5595 5745 7170 7460 7660 11190 11490 14340 22380 22980 89147 91537 142859 178294 183074 267441 274611 285718 356588 366148 428577 445735 457685 534882 549222 571436 714295 857154 891470 915370 1069764 1098444 1337205 1373055 1428590 1714308 1782940 1830740 2142885 2674410 2746110 2857180 4285770 5348820 5492220 8571540 34143301 68286602 102429903 136573204 170716505 204859806 341433010 409719612 512149515 682866020 1024299030 2048598060