Search a number
-
+
7999003344 = 243192974759
BaseRepresentation
bin1110111001100011…
…10001101011010000
3202122110112110202010
413130301301223100
5112340221101334
63401422222520
7402136256313
oct73461615320
922573473663
107999003344
113435257672
121672a24a40
139a6284597
1455c4c897a
1531c3a00e9
hex1dcc71ad0

7999003344 has 120 divisors (see below), whose sum is σ = 22038381120. Its totient is φ = 2499434496.

The previous prime is 7999003339. The next prime is 7999003351. The reversal of 7999003344 is 4433009997.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 7999003293 and 7999003302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1678437 + ... + 1683195.

It is an arithmetic number, because the mean of its divisors is an integer number (183653176).

Almost surely, 27999003344 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 7999003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11019190560).

7999003344 is an abundant number, since it is smaller than the sum of its proper divisors (14039377776).

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

7999003344 is a wasteful number, since it uses less digits than its factorization.

7999003344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The square root of 7999003344 is about 89437.1474500389. The cubic root of 7999003344 is about 1999.9169418841.

The spelling of 7999003344 in words is "seven billion, nine hundred ninety-nine million, three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 97 114 152 194 228 291 304 361 388 456 582 722 776 912 1083 1164 1444 1552 1843 2166 2328 2888 3686 4332 4656 4759 5529 5776 7372 8664 9518 11058 14277 14744 17328 19036 22116 28554 29488 35017 38072 44232 57108 70034 76144 88464 90421 105051 114216 140068 180842 210102 228432 271263 280136 361684 420204 461623 542526 560272 723368 840408 923246 1085052 1384869 1446736 1680816 1717999 1846492 2170104 2769738 3435998 3692984 4340208 5153997 5539476 6871996 7385968 8770837 10307994 11078952 13743992 17541674 20615988 22157904 26312511 27487984 35083348 41231976 52625022 70166696 82463952 105250044 140333392 166645903 210500088 333291806 421000176 499937709 666583612 999875418 1333167224 1999750836 2666334448 3999501672 7999003344