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195877152 = 2532680129
BaseRepresentation
bin10111010110011…
…01100100100000
3111122120120221100
423223031210200
5400121032102
631234154400
74565633262
oct1353154440
9448516840
10195877152
11a0627449
1255722a00
1331772853
141c02bb32
15122e2a1c
hexbacd920

195877152 has 36 divisors (see below), whose sum is σ = 557026470. Its totient is φ = 65292288.

The previous prime is 195877151. The next prime is 195877159. The reversal of 195877152 is 251778591.

195877152 is a `hidden beast` number, since 19 + 587 + 7 + 1 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 192765456 + 3111696 = 13884^2 + 1764^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1958771523 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 195877098 and 195877107.

It is not an unprimeable number, because it can be changed into a prime (195877151) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 339777 + ... + 340352.

Almost surely, 2195877152 is an apocalyptic number.

195877152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

195877152 is an abundant number, since it is smaller than the sum of its proper divisors (361149318).

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

195877152 is a wasteful number, since it uses less digits than its factorization.

195877152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680145 (or 680134 counting only the distinct ones).

The product of its digits is 176400, while the sum is 45.

The square root of 195877152 is about 13995.6118837298. The cubic root of 195877152 is about 580.7571878376.

The spelling of 195877152 in words is "one hundred ninety-five million, eight hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 680129 1360258 2040387 2720516 4080774 5441032 6121161 8161548 10882064 12242322 16323096 21764128 24484644 32646192 48969288 65292384 97938576 195877152