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5327872440 = 2335119741611
BaseRepresentation
bin1001111011001000…
…01110000110111000
3111202022022221222220
410331210032012320
541402413404230
62240402444040
7246013111542
oct47544160670
914668287886
105327872440
112294499470
121048363620
1366ba68157
1438784c692
15212b1dd10
hex13d90e1b8

5327872440 has 128 divisors (see below), whose sum is σ = 17616856320. Its totient is φ = 1278259200.

The previous prime is 5327872439. The next prime is 5327872477. The reversal of 5327872440 is 442787235.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5327872392 and 5327872401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107235 + ... + 148845.

It is an arithmetic number, because the mean of its divisors is an integer number (137631690).

Almost surely, 25327872440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5327872440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808428160).

5327872440 is an abundant number, since it is smaller than the sum of its proper divisors (12288983880).

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

5327872440 is a wasteful number, since it uses less digits than its factorization.

5327872440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41733 (or 41729 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 5327872440 is about 72992.2765777312. The cubic root of 5327872440 is about 1746.5644096135.

The spelling of 5327872440 in words is "five billion, three hundred twenty-seven million, eight hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 97 110 120 132 165 194 220 264 291 330 388 440 485 582 660 776 970 1067 1164 1320 1455 1940 2134 2328 2910 3201 3880 4268 5335 5820 6402 8536 10670 11640 12804 16005 21340 25608 32010 41611 42680 64020 83222 124833 128040 166444 208055 249666 332888 416110 457721 499332 624165 832220 915442 998664 1248330 1373163 1664440 1830884 2288605 2496660 2746326 3661768 4036267 4577210 4993320 5492652 6865815 8072534 9154420 10985304 12108801 13731630 16145068 18308840 20181335 24217602 27463260 32290136 40362670 44398937 48435204 54926520 60544005 80725340 88797874 96870408 121088010 133196811 161450680 177595748 221994685 242176020 266393622 355191496 443989370 484352040 532787244 665984055 887978740 1065574488 1331968110 1775957480 2663936220 5327872440