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4272383640 = 233576775913
BaseRepresentation
bin1111111010100111…
…0110011010011000
3102000202020120120010
43332221312122120
532222212234030
61543540001520
7210605442660
oct37651663230
912022216503
104272383640
1118a2716078
129b29902a0
135311a0475
142c75b91a0
151a012b6b0
hexfea76698

4272383640 has 128 divisors (see below), whose sum is σ = 14866997760. Its totient is φ = 961956864.

The previous prime is 4272383603. The next prime is 4272383641. The reversal of 4272383640 is 463832724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4272383641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18324 + ... + 94236.

It is an arithmetic number, because the mean of its divisors is an integer number (116148420).

Almost surely, 24272383640 is an apocalyptic number.

4272383640 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 4272383640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7433498880).

4272383640 is an abundant number, since it is smaller than the sum of its proper divisors (10594614120).

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

4272383640 is a wasteful number, since it uses less digits than its factorization.

4272383640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76001 (or 75997 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 4272383640 is about 65363.4732859263. The cubic root of 4272383640 is about 1622.6446210643.

The spelling of 4272383640 in words is "four billion, two hundred seventy-two million, three hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 402 420 469 536 670 804 840 938 1005 1340 1407 1608 1876 2010 2345 2680 2814 3752 4020 4690 5628 7035 8040 9380 11256 14070 18760 28140 56280 75913 151826 227739 303652 379565 455478 531391 607304 759130 910956 1062782 1138695 1518260 1594173 1821912 2125564 2277390 2656955 3036520 3188346 4251128 4554780 5086171 5313910 6376692 7970865 9109560 10172342 10627820 12753384 15258513 15941730 20344684 21255640 25430855 30517026 31883460 35603197 40689368 50861710 61034052 63766920 71206394 76292565 101723420 106809591 122068104 142412788 152585130 178015985 203446840 213619182 284825576 305170260 356031970 427238364 534047955 610340520 712063940 854476728 1068095910 1424127880 2136191820 4272383640