Search a number
-
+
195152412 = 223713259233
BaseRepresentation
bin10111010000111…
…00101000011100
3111121012202210010
423220130220130
5344424334122
631210443220
74556524320
oct1350345034
9447182703
10195152412
11a0181994
1255433510
133157aa00
141bcbd980
15121ece0c
hexba1ca1c

195152412 has 144 divisors (see below), whose sum is σ = 575527680. Its totient is φ = 50379264.

The previous prime is 195152389. The next prime is 195152443. The reversal of 195152412 is 214251591.

It is a self number, because there is not a number n which added to its sum of digits gives 195152412.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 837448 + ... + 837680.

It is an arithmetic number, because the mean of its divisors is an integer number (3996720).

Almost surely, 2195152412 is an apocalyptic number.

195152412 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 195152412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287763840).

195152412 is an abundant number, since it is smaller than the sum of its proper divisors (380375268).

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

195152412 is a wasteful number, since it uses less digits than its factorization.

195152412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The square root of 195152412 is about 13969.6962028528. The cubic root of 195152412 is about 580.0400408346.

The spelling of 195152412 in words is "one hundred ninety-five million, one hundred fifty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 59 78 84 91 118 156 169 177 182 233 236 273 338 354 364 413 466 507 546 676 699 708 767 826 932 1014 1092 1183 1239 1398 1534 1631 1652 2028 2301 2366 2478 2796 3029 3068 3262 3549 4602 4732 4893 4956 5369 6058 6524 7098 9087 9204 9786 9971 10738 12116 13747 14196 16107 18174 19572 19942 21203 21476 27494 29913 32214 36348 39377 39884 41241 42406 54988 59826 63609 64428 69797 78754 82482 84812 96229 118131 119652 127218 139594 157508 164964 178711 192458 209391 236262 254436 275639 279188 288687 357422 384916 418782 472524 536133 551278 577374 714844 826917 837564 1072266 1102556 1154748 1250977 1653834 2144532 2323243 2501954 3307668 3752931 4646486 5003908 6969729 7505862 9292972 13939458 15011724 16262701 27878916 32525402 48788103 65050804 97576206 195152412