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4538468760 = 2335741131779
BaseRepresentation
bin1000011101000001…
…11000100110011000
3102201021221002201120
410032200320212120
533243322000020
62030203045240
7220316230230
oct41640704630
912637832646
104538468760
111a19935831
12a67b10820
13574355397
14310a80cc0
151b868b740
hex10e838998

4538468760 has 128 divisors (see below), whose sum is σ = 15940108800. Its totient is φ = 1012055040.

The previous prime is 4538468743. The next prime is 4538468773. The reversal of 4538468760 is 678648354.

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, 31450 + ... + 100329.

It is an arithmetic number, because the mean of its divisors is an integer number (124532100).

Almost surely, 24538468760 is an apocalyptic number.

4538468760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4538468760 is an abundant number, since it is smaller than the sum of its proper divisors (11401640040).

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

4538468760 is a wasteful number, since it uses less digits than its factorization.

4538468760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131841 (or 131837 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The square root of 4538468760 is about 67368.1583539286. The cubic root of 4538468760 is about 1655.6547653680.

The spelling of 4538468760 in words is "four billion, five hundred thirty-eight million, four hundred sixty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 164 168 205 210 246 280 287 328 410 420 492 574 615 820 840 861 984 1148 1230 1435 1640 1722 2296 2460 2870 3444 4305 4920 5740 6888 8610 11480 17220 34440 131779 263558 395337 527116 658895 790674 922453 1054232 1317790 1581348 1844906 1976685 2635580 2767359 3162696 3689812 3953370 4612265 5271160 5402939 5534718 7379624 7906740 9224530 10805878 11069436 13836795 15813480 16208817 18449060 21611756 22138872 27014695 27673590 32417634 36898120 37820573 43223512 54029390 55347180 64835268 75641146 81044085 108058780 110694360 113461719 129670536 151282292 162088170 189102865 216117560 226923438 302564584 324176340 378205730 453846876 567308595 648352680 756411460 907693752 1134617190 1512822920 2269234380 4538468760