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1252322952 = 23317231131181
BaseRepresentation
bin100101010100100…
…1110111010001000
310020021110121010120
41022221032322020
510031043313302
6324133343240
743014366216
oct11251167210
93207417116
101252322952
115929a3851
122ab497b20
1316c5b3cca
14bc46dcb6
1574e239bc
hex4aa4ee88

1252322952 has 128 divisors (see below), whose sum is σ = 3492668160. Its totient is φ = 372162560.

The previous prime is 1252322947. The next prime is 1252322963. The reversal of 1252322952 is 2592232521.

It is a super-2 number, since 2×12523229522 = 3136625552211988608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059802 + ... + 1060982.

It is an arithmetic number, because the mean of its divisors is an integer number (27286470).

Almost surely, 21252322952 is an apocalyptic number.

1252322952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252322952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746334080).

1252322952 is an abundant number, since it is smaller than the sum of its proper divisors (2240345208).

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

1252322952 is a wasteful number, since it uses less digits than its factorization.

1252322952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1339 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 1252322952 is about 35388.1753132314. The cubic root of 1252322952 is about 1077.8842185386.

The spelling of 1252322952 in words is "one billion, two hundred fifty-two million, three hundred twenty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 113 136 138 184 204 226 276 339 391 408 452 552 678 782 904 1173 1181 1356 1564 1921 2346 2362 2599 2712 3128 3543 3842 4692 4724 5198 5763 7086 7684 7797 9384 9448 10396 11526 14172 15368 15594 20077 20792 23052 27163 28344 31188 40154 44183 46104 54326 60231 62376 80308 81489 88366 108652 120462 132549 133453 160616 162978 176732 217304 240924 265098 266906 325956 353464 400359 461771 481848 530196 533812 651912 800718 923542 1060392 1067624 1385313 1601436 1847084 2268701 2770626 3069419 3202872 3694168 4537402 5541252 6138838 6806103 9074804 9208257 11082504 12277676 13612206 18149608 18416514 24555352 27224412 36833028 52180123 54448824 73666056 104360246 156540369 208720492 313080738 417440984 626161476 1252322952