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4272403884 = 223739711069
BaseRepresentation
bin1111111010100111…
…1011010110101100
3102000202021121022220
43332221323112230
532222213411014
61543540235340
7210605556000
oct37651732654
912022247286
104272403884
1118a272a301
129b299bb50
135311a9748
142c75c2700
151a01326a9
hexfea7b5ac

4272403884 has 96 divisors (see below), whose sum is σ = 11648448000. Its totient is φ = 1218288960.

The previous prime is 4272403879. The next prime is 4272403903. The reversal of 4272403884 is 4883042724.

It is a super-3 number, since 3×42724038843 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3996102 + ... + 3997170.

It is an arithmetic number, because the mean of its divisors is an integer number (121338000).

Almost surely, 24272403884 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 4272403884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824224000).

4272403884 is an abundant number, since it is smaller than the sum of its proper divisors (7376044116).

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

4272403884 is a wasteful number, since it uses less digits than its factorization.

4272403884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The square root of 4272403884 is about 65363.6281428747. The cubic root of 4272403884 is about 1622.6471839401.

It can be divided in two parts, 4272 and 403884, that added together give a triangular number (408156 = T903).

The spelling of 4272403884 in words is "four billion, two hundred seventy-two million, four hundred three thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 971 1029 1069 1372 1942 2058 2138 2913 3207 3884 4116 4276 5826 6414 6797 7483 11652 12828 13594 14966 20391 22449 27188 29932 40782 44898 47579 52381 81564 89796 95158 104762 142737 157143 190316 209524 285474 314286 333053 366667 570948 628572 666106 733334 999159 1037999 1100001 1332212 1466668 1998318 2075998 2200002 3113997 3996636 4151996 4400004 6227994 7265993 12455988 14531986 21797979 29063972 43595958 50861951 87191916 101723902 152585853 203447804 305171706 356033657 610343412 712067314 1068100971 1424134628 2136201942 4272403884