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8439070944 = 2532331312211
BaseRepresentation
bin1111101110000001…
…00000000011100000
3210210010121020000010
413313000200003200
5114240400232234
63513222324520
7416061630243
oct76700400340
923703536003
108439070944
1136406a99a7
121776289740
13a464b4405
145a0b1d25a
15345d2a6e9
hex1f70200e0

8439070944 has 96 divisors (see below), whose sum is σ = 23191467264. Its totient is φ = 2681902080.

The previous prime is 8439070943. The next prime is 8439070949. The reversal of 8439070944 is 4490709348.

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

It is a super-2 number, since 2×84390709442 (a number of 21 digits) contains 22 as substring.

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 = 8439070893 and 8439070902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8439070943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684999 + ... + 697209.

It is an arithmetic number, because the mean of its divisors is an integer number (241577784).

Almost surely, 28439070944 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 8439070944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11595733632).

8439070944 is an abundant number, since it is smaller than the sum of its proper divisors (14752396320).

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

8439070944 is a wasteful number, since it uses less digits than its factorization.

8439070944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12560 (or 12552 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 8439070944 is about 91864.4160924131. The cubic root of 8439070944 is about 2035.9395512151.

The spelling of 8439070944 in words is "eight billion, four hundred thirty-nine million, seventy thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 313 368 552 626 736 939 1104 1252 1878 2208 2504 3756 5008 7199 7512 10016 12211 14398 15024 21597 24422 28796 30048 36633 43194 48844 57592 73266 86388 97688 115184 146532 172776 195376 230368 280853 293064 345552 390752 561706 586128 691104 842559 1123412 1172256 1685118 2246824 3370236 3822043 4493648 6740472 7644086 8987296 11466129 13480944 15288172 22932258 26961888 30576344 45864516 61152688 87906989 91729032 122305376 175813978 183458064 263720967 351627956 366916128 527441934 703255912 1054883868 1406511824 2109767736 2813023648 4219535472 8439070944