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5057323440 = 2435134433659
BaseRepresentation
bin1001011010111000…
…01010000110110000
3111001110020122112120
410231130022012300
540324133322230
62153455554240
7236216353131
oct45534120660
914043218476
105057323440
1121657aaa54
12b9182b980
136279ac4a0
1435d943c88
151e8ecb310
hex12d70a1b0

5057323440 has 160 divisors (see below), whose sum is σ = 16926416640. Its totient is φ = 1241730048.

The previous prime is 5057323433. The next prime is 5057323511. The reversal of 5057323440 is 443237505.

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, 1380331 + ... + 1383989.

It is an arithmetic number, because the mean of its divisors is an integer number (105790104).

Almost surely, 25057323440 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 5057323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8463208320).

5057323440 is an abundant number, since it is smaller than the sum of its proper divisors (11869093200).

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

5057323440 is a wasteful number, since it uses less digits than its factorization.

5057323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 33.

The square root of 5057323440 is about 71114.8608941900. The cubic root of 5057323440 is about 1716.4859116979.

The spelling of 5057323440 in words is "five billion, fifty-seven million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 443 520 624 780 886 1040 1329 1560 1772 2215 2658 3120 3544 3659 4430 5316 5759 6645 7088 7318 8860 10632 10977 11518 13290 14636 17277 17720 18295 21264 21954 23036 26580 28795 29272 34554 35440 36590 43908 46072 47567 53160 54885 57590 58544 69108 73180 86385 87816 92144 95134 106320 109770 115180 138216 142701 146360 172770 175632 190268 219540 230360 237835 276432 285402 292720 345540 380536 439080 460720 475670 570804 691080 713505 761072 878160 951340 1141608 1382160 1427010 1620937 1902680 2283216 2854020 3241874 3805360 4862811 5708040 6483748 8104685 9725622 11416080 12967496 16209370 19451244 21072181 24314055 25934992 32418740 38902488 42144362 48628110 63216543 64837480 77804976 84288724 97256220 105360905 126433086 129674960 168577448 194512440 210721810 252866172 316082715 337154896 389024880 421443620 505732344 632165430 842887240 1011464688 1264330860 1685774480 2528661720 5057323440