Search a number
-
+
8471199840 = 253527165123
BaseRepresentation
bin1111110001110110…
…00100000001100000
3210212101001112120020
413320323010001200
5114322111343330
63520331113440
7416632003425
oct77073040140
923771045506
108471199840
113657853904
121784ba2880
13a500533ac
145a50c3d4c
15348a75210
hex1f8ec4060

8471199840 has 96 divisors (see below), whose sum is σ = 26783156736. Its totient is φ = 2250616320.

The previous prime is 8471199833. The next prime is 8471199857. The reversal of 8471199840 is 489911748.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×84711998402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97519 + ... + 162641.

It is an arithmetic number, because the mean of its divisors is an integer number (278991216).

Almost surely, 28471199840 is an apocalyptic number.

8471199840 is a gapful number since it is divisible by the number (80) 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 8471199840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13391578368).

8471199840 is an abundant number, since it is smaller than the sum of its proper divisors (18311956896).

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

8471199840 is a wasteful number, since it uses less digits than its factorization.

8471199840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65412 (or 65404 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The square root of 8471199840 is about 92039.1212474348. The cubic root of 8471199840 is about 2038.5199953471.

The spelling of 8471199840 in words is "eight billion, four hundred seventy-one million, one hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 271 480 542 813 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 8672 10840 13008 16260 21680 26016 32520 43360 65040 65123 130080 130246 195369 260492 325615 390738 520984 651230 781476 976845 1041968 1302460 1562952 1953690 2083936 2604920 3125904 3907380 5209840 6251808 7814760 10419680 15629520 17648333 31259040 35296666 52944999 70593332 88241665 105889998 141186664 176483330 211779996 264724995 282373328 352966660 423559992 529449990 564746656 705933320 847119984 1058899980 1411866640 1694239968 2117799960 2823733280 4235599920 8471199840