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5162484240 = 243357093371
BaseRepresentation
bin1001100111011010…
…10100001000010000
3111022210010101001000
410303231110020100
541033043443430
62212133542000
7241634251314
oct46355241020
914283111030
105162484240
11220a0a6901
121000aa4900
1364370c004
1436d8b9b44
1520334ee60
hex133b54210

5162484240 has 160 divisors (see below), whose sum is σ = 17812252800. Its totient is φ = 1374312960.

The previous prime is 5162484227. The next prime is 5162484263. The reversal of 5162484240 is 424842615.

5162484240 is a `hidden beast` number, since 5 + 1 + 624 + 8 + 4 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5162484195 and 5162484204.

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, 1529755 + ... + 1533125.

It is an arithmetic number, because the mean of its divisors is an integer number (111326580).

Almost surely, 25162484240 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 5162484240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8906126400).

5162484240 is an abundant number, since it is smaller than the sum of its proper divisors (12649768560).

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

5162484240 is a wasteful number, since it uses less digits than its factorization.

5162484240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5162484240 is about 71850.4296438094. The cubic root of 5162484240 is about 1728.3017894972.

The spelling of 5162484240 in words is "five billion, one hundred sixty-two million, four hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 709 720 1080 1418 2127 2160 2836 3371 3545 4254 5672 6381 6742 7090 8508 10113 10635 11344 12762 13484 14180 16855 17016 19143 20226 21270 25524 26968 28360 30339 31905 33710 34032 38286 40452 42540 50565 51048 53936 56720 60678 63810 67420 76572 80904 85080 91017 95715 101130 102096 121356 127620 134840 151695 153144 161808 170160 182034 191430 202260 242712 255240 269680 303390 306288 364068 382860 404520 455085 485424 510480 606780 728136 765720 809040 910170 1213560 1456272 1531440 1820340 2390039 2427120 3640680 4780078 7170117 7281360 9560156 11950195 14340234 19120312 21510351 23900390 28680468 35850585 38240624 43020702 47800780 57360936 64531053 71701170 86041404 95601560 107551755 114721872 129062106 143402340 172082808 191203120 215103510 258124212 286804680 322655265 344165616 430207020 516248424 573609360 645310530 860414040 1032496848 1290621060 1720828080 2581242120 5162484240