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252443952 = 243623941
BaseRepresentation
bin11110000101111…
…11110100110000
3122121000111000000
433002333310300
51004111201302
641014430000
76153511125
oct1702776460
9577014000
10252443952
1111a552972
1270662300
13403b9c27
142575474c
151726831c
hexf0bfd30

252443952 has 140 divisors (see below), whose sum is σ = 766026864. Its totient is φ = 80403840.

The previous prime is 252443903. The next prime is 252443957. The reversal of 252443952 is 259344252.

252443952 is a `hidden beast` number, since 2 + 524 + 43 + 95 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (252443957) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 267802 + ... + 268742.

Almost surely, 2252443952 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 252443952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383013432).

252443952 is an abundant number, since it is smaller than the sum of its proper divisors (513582912).

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

252443952 is an equidigital number, since it uses as much as digits as its factorization.

252443952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 969 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 252443952 is about 15888.4848868607. The cubic root of 252443952 is about 632.0066628577.

The spelling of 252443952 in words is "two hundred fifty-two million, four hundred forty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 324 368 414 432 486 552 621 648 729 828 941 972 1104 1242 1296 1458 1656 1863 1882 1944 2484 2823 2916 3312 3726 3764 3888 4968 5589 5646 5832 7452 7528 8469 9936 11178 11292 11664 14904 15056 16767 16938 21643 22356 22584 25407 29808 33534 33876 43286 44712 45168 50814 64929 67068 67752 76221 86572 89424 101628 129858 134136 135504 152442 173144 194787 203256 228663 259716 268272 304884 346288 389574 406512 457326 519432 584361 609768 685989 779148 914652 1038864 1168722 1219536 1371978 1558296 1753083 1829304 2337444 2743956 3116592 3506166 3658608 4674888 5259249 5487912 7012332 9349776 10518498 10975824 14024664 15777747 21036996 28049328 31555494 42073992 63110988 84147984 126221976 252443952