Search a number
-
+
195268752 = 24337312083
BaseRepresentation
bin10111010001110…
…01000010010000
3111121102200101000
423220321002100
5344442100002
631213142000
74560520440
oct1350710220
9447380330
10195268752
11a0251338
125548a900
13315bb953
141bd10120
151222261c
hexba39090

195268752 has 160 divisors (see below), whose sum is σ = 661544960. Its totient is φ = 53965440.

The previous prime is 195268741. The next prime is 195268769. The reversal of 195268752 is 257862591.

It is a junction number, because it is equal to n+sod(n) for n = 195268698 and 195268707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92703 + ... + 94785.

It is an arithmetic number, because the mean of its divisors is an integer number (4134656).

Almost surely, 2195268752 is an apocalyptic number.

195268752 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 195268752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330772480).

195268752 is an abundant number, since it is smaller than the sum of its proper divisors (466276208).

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

195268752 is a wasteful number, since it uses less digits than its factorization.

195268752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2126 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 195268752 is about 13973.8595956879. The cubic root of 195268752 is about 580.1552814514.

The spelling of 195268752 in words is "one hundred ninety-five million, two hundred sixty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1488 1512 1674 1736 1953 2083 2232 2604 3024 3348 3472 3906 4166 4464 5208 5859 6249 6696 7812 8332 10416 11718 12498 13392 14581 15624 16664 18747 23436 24996 29162 31248 33328 37494 43743 46872 49992 56241 58324 64573 74988 87486 93744 99984 112482 116648 129146 131229 149976 174972 193719 224964 233296 258292 262458 299952 349944 387438 393687 449928 452011 516584 524916 581157 699888 774876 787374 899856 904022 1033168 1049832 1162314 1356033 1549752 1574748 1743471 1808044 2099664 2324628 2712066 3099504 3149496 3486942 3616088 4068099 4649256 5424132 6298992 6973884 7232176 8136198 9298512 10848264 12204297 13947768 16272396 21696528 24408594 27895536 32544792 48817188 65089584 97634376 195268752