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1000079424 = 263213912491
BaseRepresentation
bin111011100111000…
…000000001000000
32120200211022001200
4323213000001000
54022010020144
6243123101200
733532351311
oct7347000100
92520738050
101000079424
11473578523
1223ab11800
1312c267396
1496b6c608
155cbe9c69
hex3b9c0040

1000079424 has 84 divisors (see below), whose sum is σ = 2887400880. Its totient is φ = 330935040.

The previous prime is 1000079371. The next prime is 1000079447. The reversal of 1000079424 is 4249700001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73819 + ... + 86309.

It is an arithmetic number, because the mean of its divisors is an integer number (34373820).

Almost surely, 21000079424 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 1000079424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443700440).

1000079424 is an abundant number, since it is smaller than the sum of its proper divisors (1887321456).

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

1000079424 is a wasteful number, since it uses less digits than its factorization.

1000079424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12648 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1000079424 is about 31624.0323804540. The cubic root of 1000079424 is about 1000.0264739658.

Adding to 1000079424 its reverse (4249700001), we get a palindrome (5249779425).

The spelling of 1000079424 in words is "one billion, seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 139 144 192 278 288 417 556 576 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 8896 10008 12491 13344 20016 24982 26688 37473 40032 49964 74946 80064 99928 112419 149892 199856 224838 299784 399712 449676 599568 799424 899352 1199136 1736249 1798704 2398272 3472498 3597408 5208747 6944996 7194816 10417494 13889992 15626241 20834988 27779984 31252482 41669976 55559968 62504964 83339952 111119936 125009928 166679904 250019856 333359808 500039712 1000079424