Search a number
-
+
1002426712 = 23724197643
BaseRepresentation
bin111011101111111…
…101000101011000
32120212020112221021
4323233331011120
54023110123322
6243245252224
733561325600
oct7357750530
92525215837
101002426712
11474931031
1223b864074
1312c8a9901
14971bdc00
155d0104c7
hex3bbfd158

1002426712 has 96 divisors (see below), whose sum is σ = 2266351920. Its totient is φ = 414167040.

The previous prime is 1002426703. The next prime is 1002426749. The reversal of 1002426712 is 2176242001.

It is a super-2 number, since 2×10024267122 = 2009718625862261888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1558663 + ... + 1559305.

Almost surely, 21002426712 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 1002426712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133175960).

1002426712 is an abundant number, since it is smaller than the sum of its proper divisors (1263925208).

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

1002426712 is a wasteful number, since it uses less digits than its factorization.

1002426712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1002426712 is about 31661.1230375677. The cubic root of 1002426712 is about 1000.8082505550.

Adding to 1002426712 its reverse (2176242001), we get a palindrome (3178668713).

The spelling of 1002426712 in words is "one billion, two million, four hundred twenty-six thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 97 98 164 194 196 287 328 388 392 574 643 679 776 1148 1286 1358 2009 2296 2572 2716 3977 4018 4501 4753 5144 5432 7954 8036 9002 9506 15908 16072 18004 19012 26363 27839 31507 31816 36008 38024 52726 55678 62371 63014 105452 111356 124742 126028 184541 194873 210904 222712 249484 252056 369082 389746 436597 498968 738164 779492 873194 1291787 1476328 1558984 1746388 2557211 2583574 3056179 3492776 5114422 5167148 6112358 10228844 10334296 12224716 17900477 20457688 24449432 35800954 71601908 125303339 143203816 250606678 501213356 1002426712