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4742052040 = 2351143534729
BaseRepresentation
bin1000110101010010…
…11111100011001000
3110020111000012111001
410122221133203020
534202431131130
62102314344344
7225340530415
oct43251374310
913214005431
104742052040
112013845980
12b0412b0b4
135a759566b
1432db1710c
151cb4a26ca
hex11aa5f8c8

4742052040 has 128 divisors (see below), whose sum is σ = 12137558400. Its totient is φ = 1652152320.

The previous prime is 4742052011. The next prime is 4742052059. The reversal of 4742052040 is 402502474.

It is a happy 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, 1000396 + ... + 1005124.

It is an arithmetic number, because the mean of its divisors is an integer number (94824675).

Almost surely, 24742052040 is an apocalyptic number.

4742052040 is a gapful number since it is divisible by the number (40) 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 4742052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068779200).

4742052040 is an abundant number, since it is smaller than the sum of its proper divisors (7395506360).

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

4742052040 is a wasteful number, since it uses less digits than its factorization.

4742052040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 4742052040 is about 68862.5590578799. The cubic root of 4742052040 is about 1680.0496064339.

The spelling of 4742052040 in words is "four billion, seven hundred forty-two million, fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 53 55 86 88 106 110 172 212 215 220 265 344 424 430 440 473 530 583 860 946 1060 1166 1720 1892 2120 2279 2332 2365 2915 3784 4558 4664 4729 4730 5830 9116 9458 9460 11395 11660 18232 18916 18920 22790 23320 23645 25069 37832 45580 47290 50138 52019 91160 94580 100276 104038 125345 189160 200552 203347 208076 250637 250690 260095 406694 416152 501274 501380 520190 813388 1002548 1002760 1016735 1040380 1253185 1626776 2005096 2033470 2080760 2236817 2506370 2757007 4066940 4473634 5012740 5514014 8133880 8947268 10025480 10777391 11028028 11184085 13785035 17894536 21554782 22056056 22368170 27570070 43109564 44736340 53886955 55140140 86219128 89472680 107773910 110280280 118551301 215547820 237102602 431095640 474205204 592756505 948410408 1185513010 2371026020 4742052040