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5438872008 = 233423734999
BaseRepresentation
bin1010001000010111…
…01001100111001000
3112001001012022210000
411010023221213020
542114322401013
62255405523000
7251531435463
oct50413514710
915031168700
105438872008
112341113049
121079573460
13688a6047b
143984a42da
1521c747973
hex1442e99c8

5438872008 has 160 divisors (see below), whose sum is σ = 16117200000. Its totient is φ = 1710035712.

The previous prime is 5438871983. The next prime is 5438872013. The reversal of 5438872008 is 8002788345.

5438872008 is a `hidden beast` number, since 5 + 438 + 8 + 7 + 200 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1085493 + ... + 1090491.

It is an arithmetic number, because the mean of its divisors is an integer number (100732500).

Almost surely, 25438872008 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 5438872008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8058600000).

5438872008 is an abundant number, since it is smaller than the sum of its proper divisors (10678327992).

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

5438872008 is a wasteful number, since it uses less digits than its factorization.

5438872008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5438872008 is about 73748.7085175056. The cubic root of 5438872008 is about 1758.6103019141.

The spelling of 5438872008 in words is "five billion, four hundred thirty-eight million, eight hundred seventy-two thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 73 81 92 108 138 146 162 184 207 216 219 276 292 324 414 438 552 584 621 648 657 828 876 1242 1314 1656 1679 1752 1863 1971 2484 2628 3358 3726 3942 4968 4999 5037 5256 5913 6716 7452 7884 9998 10074 11826 13432 14904 14997 15111 15768 19996 20148 23652 29994 30222 39992 40296 44991 45333 47304 59988 60444 89982 90666 114977 119976 120888 134973 135999 179964 181332 229954 269946 271998 344931 359928 362664 364927 404919 459908 539892 543996 689862 729854 809838 919816 1034793 1079784 1087992 1094781 1379724 1459708 1619676 2069586 2189562 2759448 2919416 3104379 3239352 3284343 4139172 4379124 6208758 6568686 8278344 8393321 8758248 9313137 9853029 12417516 13137372 16786642 18626274 19706058 24835032 25179963 26274744 29559087 33573284 37252548 39412116 50359926 59118174 67146568 74505096 75539889 78824232 100719852 118236348 151079778 201439704 226619667 236472696 302159556 453239334 604319112 679859001 906478668 1359718002 1812957336 2719436004 5438872008