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1003331252 = 227311193499
BaseRepresentation
bin111011110011011…
…001111010110100
32120220221111201202
4323303121322310
54023323100002
6243320512032
733602114000
oct7363317264
92526844652
101003331252
11475399690
1224001b618
1312cb35541
1497377700
155d13d502
hex3bcd9eb4

1003331252 has 96 divisors (see below), whose sum is σ = 2352000000. Its totient is φ = 370228320.

The previous prime is 1003331249. The next prime is 1003331261. The reversal of 1003331252 is 2521333001.

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 31 ways as a sum of consecutive naturals, for example, 284999 + ... + 288497.

It is an arithmetic number, because the mean of its divisors is an integer number (24500000).

Almost surely, 21003331252 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 1003331252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176000000).

1003331252 is an abundant number, since it is smaller than the sum of its proper divisors (1348668748).

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

1003331252 is a wasteful number, since it uses less digits than its factorization.

1003331252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1003331252 is about 31675.4045278036. The cubic root of 1003331252 is about 1001.1091865836.

Adding to 1003331252 its reverse (2521333001), we get a palindrome (3524664253).

The spelling of 1003331252 in words is "one billion, three million, three hundred thirty-one thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 49 76 77 98 133 154 196 209 266 308 343 418 532 539 686 836 931 1078 1372 1463 1862 2156 2926 3499 3724 3773 5852 6517 6998 7546 10241 13034 13996 15092 20482 24493 26068 38489 40964 48986 66481 71687 76978 97972 132962 143374 153956 171451 265924 269423 286748 342902 465367 538846 685804 731291 930734 1077692 1200157 1462582 1861468 1885961 2400314 2925164 3257569 3771922 4800628 5119037 6515138 7543844 10238074 13030276 13201727 20476148 22802983 26403454 35833259 45605966 52806908 71666518 91211932 143333036 250832813 501665626 1003331252