Search a number
-
+
8008197840 = 243451235833
BaseRepresentation
bin1110111010101001…
…10110011011010000
3202200002211121020000
413131110312123100
5112400044312330
63402351250000
7402310362366
oct73524663320
922602747200
108008197840
11343a467625
121675b19900
139a8153606
1455d7dd636
1531d0b9560
hex1dd5366d0

8008197840 has 100 divisors (see below), whose sum is σ = 27813680004. Its totient is φ = 2135517696.

The previous prime is 8008197833. The next prime is 8008197907. The reversal of 8008197840 is 487918008.

It can be written as a sum of positive squares in 2 ways, for example, as 4302310464 + 3705887376 = 65592^2 + 60876^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 611437 + ... + 624396.

Almost surely, 28008197840 is an apocalyptic number.

8008197840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8008197840 is an abundant number, since it is smaller than the sum of its proper divisors (19805482164).

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

8008197840 is a wasteful number, since it uses less digits than its factorization.

8008197840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235858 (or 1235843 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 8008197840 is about 89488.5346846176. The cubic root of 8008197840 is about 2000.6829201168.

The spelling of 8008197840 in words is "eight billion, eight million, one hundred ninety-seven thousand, eight 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 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 1235833 2471666 3707499 4943332 6179165 7414998 9886664 11122497 12358330 14829996 18537495 19773328 22244994 24716660 29659992 33367491 37074990 44489988 49433320 55612485 59319984 66734982 74149980 88979976 98866640 100102473 111224970 133469964 148299960 166837455 177959952 200204946 222449940 266939928 296599920 333674910 400409892 444899880 500512365 533879856 667349820 800819784 889799760 1001024730 1334699640 1601639568 2002049460 2669399280 4004098920 8008197840