[go: up one dir, main page]

Search a number
-
+
195834496 = 2711132823
BaseRepresentation
bin10111010110000…
…11001010000000
3111122111102102111
423223003022000
5400113200441
631233225104
74565365024
oct1353031200
9448442374
10195834496
11a05a83a0
1255702194
1331759300
141c01a384
15122d5081
hexbac3280

195834496 has 96 divisors (see below), whose sum is σ = 461423520. Its totient is φ = 82068480.

The previous prime is 195834481. The next prime is 195834547. The reversal of 195834496 is 694438591.

It is a happy number.

It is a super-2 number, since 2×1958344962 = 76702299647148032, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 237541 + ... + 238363.

It is an arithmetic number, because the mean of its divisors is an integer number (4806495).

Almost surely, 2195834496 is an apocalyptic number.

195834496 is a gapful number since it is divisible by the number (16) 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 195834496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230711760).

195834496 is an abundant number, since it is smaller than the sum of its proper divisors (265589024).

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

195834496 is a wasteful number, since it uses less digits than its factorization.

195834496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 849 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The square root of 195834496 is about 13994.0878945360. The cubic root of 195834496 is about 580.7150277783.

The spelling of 195834496 in words is "one hundred ninety-five million, eight hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 169 176 208 286 338 352 416 572 676 704 823 832 1144 1352 1408 1646 1664 1859 2288 2704 3292 3718 4576 5408 6584 7436 9053 9152 10699 10816 13168 14872 18106 18304 21398 21632 26336 29744 36212 42796 52672 59488 72424 85592 105344 117689 118976 139087 144848 171184 235378 237952 278174 289696 342368 470756 556348 579392 684736 941512 1112696 1158784 1369472 1529957 1883024 2225392 3059914 3766048 4450784 6119828 7532096 8901568 12239656 15064192 17803136 24479312 48958624 97917248 195834496