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2485536720 = 2435471791231
BaseRepresentation
bin1001010000100110…
…0100011111010000
320102012222100101120
42110021210133100
520042244133340
61050345402240
7115410466512
oct22411443720
96365870346
102485536720
111066025587
12594499380
13307c371b4
14198167bb2
15e83204d0
hex942647d0

2485536720 has 160 divisors (see below), whose sum is σ = 7919493120. Its totient is φ = 644559360.

The previous prime is 2485536709. The next prime is 2485536743. The reversal of 2485536720 is 276355842.

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 31 ways as a sum of consecutive naturals, for example, 2018505 + ... + 2019735.

It is an arithmetic number, because the mean of its divisors is an integer number (49496832).

Almost surely, 22485536720 is an apocalyptic number.

2485536720 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 2485536720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959746560).

2485536720 is an abundant number, since it is smaller than the sum of its proper divisors (5433956400).

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

2485536720 is a wasteful number, since it uses less digits than its factorization.

2485536720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 2485536720 is about 49855.1574062303. The cubic root of 2485536720 is about 1354.5864525934.

The spelling of 2485536720 in words is "two billion, four hundred eighty-five million, five hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 179 188 235 240 282 358 376 470 537 564 705 716 752 895 940 1074 1128 1231 1410 1432 1790 1880 2148 2256 2462 2685 2820 2864 3580 3693 3760 4296 4924 5370 5640 6155 7160 7386 8413 8592 9848 10740 11280 12310 14320 14772 16826 18465 19696 21480 24620 25239 29544 33652 36930 42065 42960 49240 50478 57857 59088 67304 73860 84130 98480 100956 115714 126195 134608 147720 168260 173571 201912 220349 231428 252390 289285 295440 336520 347142 403824 440698 462856 504780 578570 661047 673040 694284 867855 881396 925712 1009560 1101745 1157140 1322094 1388568 1735710 1762792 2019120 2203490 2314280 2644188 2777136 3305235 3471420 3525584 4406980 4628560 5288376 6610470 6942840 8813960 10356403 10576752 13220940 13885680 17627920 20712806 26441880 31069209 41425612 51782015 52883760 62138418 82851224 103564030 124276836 155346045 165702448 207128060 248553672 310692090 414256120 497107344 621384180 828512240 1242768360 2485536720