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1252217382 = 23131719232161
BaseRepresentation
bin100101010100011…
…0101001000100110
310020021021020022120
41022220311020212
510031031424012
6324131210410
743013446353
oct11250651046
93207236276
101252217382
115929314a9
122ab446a06
1316c577c40
14bc44362a
1574e0258c
hex4aa35226

1252217382 has 128 divisors (see below), whose sum is σ = 3138186240. Its totient is φ = 328458240.

The previous prime is 1252217377. The next prime is 1252217383. The reversal of 1252217382 is 2837122521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252217383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578382 + ... + 580542.

It is an arithmetic number, because the mean of its divisors is an integer number (24517080).

Almost surely, 21252217382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252217382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569093120).

1252217382 is an abundant number, since it is smaller than the sum of its proper divisors (1885968858).

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

1252217382 is a wasteful number, since it uses less digits than its factorization.

1252217382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238.

The product of its digits is 13440, while the sum is 33.

The square root of 1252217382 is about 35386.6836818598. The cubic root of 1252217382 is about 1077.8539293776.

The spelling of 1252217382 in words is "one billion, two hundred fifty-two million, two hundred seventeen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 13 17 19 23 26 34 38 39 46 51 57 69 78 102 114 138 221 247 299 323 391 437 442 494 598 646 663 741 782 874 897 969 1173 1311 1326 1482 1794 1938 2161 2346 2622 4199 4322 5083 5681 6483 7429 8398 10166 11362 12597 12966 14858 15249 17043 22287 25194 28093 30498 34086 36737 41059 44574 49703 56186 73474 82118 84279 96577 99406 110211 123177 149109 168558 193154 220422 246354 289731 298218 477581 533767 579462 646139 698003 844951 944357 955162 1067534 1292278 1396006 1432743 1601301 1689902 1888714 1938417 2094009 2534853 2833071 2865486 3202602 3876834 4188018 5069706 5666142 9074039 10984363 12276641 16054069 18148078 21968726 24553282 27222117 32108138 32953089 36829923 48162207 54444234 65906178 73659846 96324414 208702897 417405794 626108691 1252217382