Search a number
-
+
195516048 = 243713172633
BaseRepresentation
bin10111010011101…
…01011010010000
3111121220020121010
423221311122100
5400023003143
631222330520
74562600430
oct1351653220
9447806533
10195516048
11a0400112
1255589a40
1331677390
141bd762c0
1512270a33
hexba75690

195516048 has 160 divisors (see below), whose sum is σ = 658457856. Its totient is φ = 48513024.

The previous prime is 195516047. The next prime is 195516053. The reversal of 195516048 is 840615591.

195516048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 195515997 and 195516015.

It is not an unprimeable number, because it can be changed into a prime (195516043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72940 + ... + 75572.

Almost surely, 2195516048 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 195516048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329228928).

195516048 is an abundant number, since it is smaller than the sum of its proper divisors (462941808).

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

195516048 is a wasteful number, since it uses less digits than its factorization.

195516048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 195516048 is about 13982.7053176415. The cubic root of 195516048 is about 580.4000885975.

The spelling of 195516048 in words is "one hundred ninety-five million, five hundred sixteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 204 208 221 238 272 273 312 336 357 364 408 442 476 546 624 663 714 728 816 884 952 1092 1326 1428 1456 1547 1768 1904 2184 2633 2652 2856 3094 3536 4368 4641 5266 5304 5712 6188 7899 9282 10532 10608 12376 15798 18431 18564 21064 24752 31596 34229 36862 37128 42128 44761 55293 63192 68458 73724 74256 89522 102687 110586 126384 134283 136916 147448 179044 205374 221172 239603 268566 273832 294896 313327 358088 410748 442344 479206 537132 547664 581893 626654 716176 718809 821496 884688 939981 958412 1074264 1163786 1253308 1437618 1642992 1745679 1879962 1916824 2148528 2327572 2506616 2875236 3491358 3759924 3833648 4073251 4655144 5013232 5750472 6982716 7519848 8146502 9310288 11500944 12219753 13965432 15039696 16293004 24439506 27930864 32586008 48879012 65172016 97758024 195516048