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265257252 = 22321319231297
BaseRepresentation
bin11111100111110…
…00000100100100
3200111010110112200
433303320010210
51020401213002
642153214500
76400435521
oct1763700444
9614113480
10265257252
11126804777
1274a01430
1342c55170
142732c148
1518449b1c
hexfcf8124

265257252 has 144 divisors (see below), whose sum is σ = 793752960. Its totient is φ = 73903104.

The previous prime is 265257241. The next prime is 265257259. The reversal of 265257252 is 252752562.

It is a happy number.

265257252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2652572522 = 140722819477183008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265257259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203868 + ... + 205164.

Almost surely, 2265257252 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 265257252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396876480).

265257252 is an abundant number, since it is smaller than the sum of its proper divisors (528495708).

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

265257252 is a wasteful number, since it uses less digits than its factorization.

265257252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1357 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 265257252 is about 16286.7201117966. The cubic root of 265257252 is about 642.5236069591.

The spelling of 265257252 in words is "two hundred sixty-five million, two hundred fifty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 23 26 36 38 39 46 52 57 69 76 78 92 114 117 138 156 171 207 228 234 247 276 299 342 414 437 468 494 598 684 741 828 874 897 988 1196 1297 1311 1482 1748 1794 2223 2594 2622 2691 2964 3588 3891 3933 4446 5188 5244 5382 5681 7782 7866 8892 10764 11362 11673 15564 15732 16861 17043 22724 23346 24643 29831 33722 34086 46692 49286 50583 51129 59662 67444 68172 73929 89493 98572 101166 102258 119324 147858 151749 178986 202332 204516 221787 268479 295716 303498 320359 357972 387803 443574 536958 566789 606996 640718 775606 887148 961077 1073916 1133578 1163409 1281436 1551212 1700367 1922154 2267156 2326818 2883231 3400734 3490227 3844308 4653636 5101101 5766462 6801468 6980454 7368257 10202202 11532924 13960908 14736514 20404404 22104771 29473028 44209542 66314313 88419084 132628626 265257252