Search a number
-
+
195853008 = 243132979137
BaseRepresentation
bin10111010110001…
…11101011010000
3111122112100211010
423223013223100
5400114244013
631233450520
74565503011
oct1353075320
9448470733
10195853008
11a061029a
1255710a40
1331764870
141c023008
15122da7c3
hexbac7ad0

195853008 has 160 divisors (see below), whose sum is σ = 574963200. Its totient is φ = 57028608.

The previous prime is 195852977. The next prime is 195853013. The reversal of 195853008 is 800358591.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1429516 + ... + 1429652.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 2195853008 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 195853008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287481600).

195853008 is an abundant number, since it is smaller than the sum of its proper divisors (379110192).

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

195853008 is a wasteful number, since it uses less digits than its factorization.

195853008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

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

The square root of 195853008 is about 13994.7493010772. The cubic root of 195853008 is about 580.7333253000.

The spelling of 195853008 in words is "one hundred ninety-five million, eight hundred fifty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 79 87 104 116 137 156 158 174 208 232 237 274 312 316 348 377 411 464 474 548 624 632 696 754 822 948 1027 1096 1131 1264 1392 1508 1644 1781 1896 2054 2192 2262 2291 3016 3081 3288 3562 3792 3973 4108 4524 4582 5343 6032 6162 6576 6873 7124 7946 8216 9048 9164 10686 10823 11919 12324 13746 14248 15892 16432 18096 18328 21372 21646 23838 24648 27492 28496 29783 31784 32469 36656 42744 43292 47676 49296 51649 54984 59566 63568 64938 85488 86584 89349 95352 103298 109968 119132 129876 140699 154947 173168 178698 190704 206596 238264 259752 281398 309894 313867 357396 413192 422097 476528 519504 562796 619788 627734 714792 826384 844194 941601 1125592 1239576 1255468 1429584 1688388 1883202 2251184 2479152 2510936 3376776 3766404 4080271 5021872 6753552 7532808 8160542 12240813 15065616 16321084 24481626 32642168 48963252 65284336 97926504 195853008