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2048385060 = 22325192326041
BaseRepresentation
bin111101000010111…
…1110000000100100
312021202101202001100
41322011332000210
513143341310220
6535132000100
7101521662051
oct17205760044
95252352040
102048385060
11961295017
12492000030
132684b8687
14156092028
15bec6dd90
hex7a17e024

2048385060 has 144 divisors (see below), whose sum is σ = 6825087360. Its totient is φ = 494968320.

The previous prime is 2048385019. The next prime is 2048385089. The reversal of 2048385060 is 605838402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65640 + ... + 91680.

It is an arithmetic number, because the mean of its divisors is an integer number (47396440).

Almost surely, 22048385060 is an apocalyptic number.

2048385060 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 2048385060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412543680).

2048385060 is an abundant number, since it is smaller than the sum of its proper divisors (4776702300).

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

2048385060 is a wasteful number, since it uses less digits than its factorization.

2048385060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26098 (or 26093 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2048385060 is about 45259.0881481278. The cubic root of 2048385060 is about 1270.0004257340. Note that the first 3 decimals are identical.

The spelling of 2048385060 in words is "two billion, forty-eight million, three hundred eighty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 23 30 36 38 45 46 57 60 69 76 90 92 95 114 115 138 171 180 190 207 228 230 276 285 342 345 380 414 437 460 570 684 690 828 855 874 1035 1140 1311 1380 1710 1748 2070 2185 2622 3420 3933 4140 4370 5244 6555 7866 8740 13110 15732 19665 26041 26220 39330 52082 78123 78660 104164 130205 156246 234369 260410 312492 390615 468738 494779 520820 598943 781230 937476 989558 1171845 1197886 1484337 1562460 1796829 1979116 2343690 2395772 2473895 2968674 2994715 3593658 4453011 4687380 4947790 5390487 5937348 5989430 7187316 7421685 8906022 8984145 9895580 10780974 11379917 11978860 14843370 17812044 17968290 21561948 22265055 22759834 26952435 29686740 34139751 35936580 44530110 45519668 53904870 56899585 68279502 89060220 102419253 107809740 113799170 136559004 170698755 204838506 227598340 341397510 409677012 512096265 682795020 1024192530 2048385060