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2490045705 = 34572931977
BaseRepresentation
bin1001010001101011…
…0001010100001001
320102112110102120000
42110122301110021
520044422430310
61051030153213
7115464016320
oct22432612411
96375412500
102490045705
111068625214
12595ab2809
13308b55634
141989bd0b7
15e89114c0
hex946b1509

2490045705 has 160 divisors (see below), whose sum is σ = 5453015040. Its totient is φ = 1062512640.

The previous prime is 2490045683. The next prime is 2490045737. The reversal of 2490045705 is 5075400942.

It is not a de Polignac number, because 2490045705 - 25 = 2490045673 is a prime.

It is a super-2 number, since 2×24900457052 = 12400655225977894050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2490045705.

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 159 ways as a sum of consecutive naturals, for example, 2548177 + ... + 2549153.

It is an arithmetic number, because the mean of its divisors is an integer number (34081344).

Almost surely, 22490045705 is an apocalyptic number.

It is an amenable number.

2490045705 is an abundant number, since it is smaller than the sum of its proper divisors (2962969335).

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

2490045705 is a wasteful number, since it uses less digits than its factorization.

2490045705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2490045705 is about 49900.3577642485. The cubic root of 2490045705 is about 1355.4050712703.

The spelling of 2490045705 in words is "two billion, four hundred ninety million, forty-five thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 27 29 31 35 45 63 81 87 93 105 135 145 155 189 203 217 261 279 315 405 435 465 567 609 651 783 837 899 945 977 1015 1085 1305 1395 1827 1953 2349 2511 2697 2835 2931 3045 3255 3915 4185 4495 4885 5481 5859 6293 6839 8091 8793 9135 9765 11745 12555 13485 14655 16443 17577 18879 20517 24273 26379 27405 28333 29295 30287 31465 34195 40455 43965 56637 61551 72819 79137 82215 84999 87885 90861 94395 102585 121365 131895 141665 151435 169911 184653 198331 212009 254997 272583 283185 307755 364095 395685 424995 454305 509733 553959 594993 636027 764991 817749 849555 878323 923265 991655 1060045 1274985 1362915 1784979 1908081 2294973 2453247 2548665 2634969 2769795 2974965 3180135 3824955 4088745 4391615 5354937 5724243 6148261 7904907 8924895 9540405 11474865 12266235 13174845 16064811 17172729 18444783 23714721 26774685 28621215 30741305 39524535 55334349 71144163 80324055 85863645 92223915 118573605 166003047 276671745 355720815 498009141 830015235 2490045705