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195931152 = 243211312041
BaseRepresentation
bin10111010110110…
…10110000010000
3111122200100000100
423223122300100
5400124244102
631235252400
74566246564
oct1353326020
9448610010
10195931152
11a0663a7a
125574a100
13317912c1
141c0436a4
1512303a1c
hexbadac10

195931152 has 60 divisors (see below), whose sum is σ = 553233564. Its totient is φ = 64727040.

The previous prime is 195931123. The next prime is 195931157. The reversal of 195931152 is 251139591.

195931152 is a `hidden beast` number, since 1 + 9 + 593 + 11 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49617936 + 146313216 = 7044^2 + 12096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (195931157) 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 11 ways as a sum of consecutive naturals, for example, 10252 + ... + 22292.

Almost surely, 2195931152 is an apocalyptic number.

195931152 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 195931152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276616782).

195931152 is an abundant number, since it is smaller than the sum of its proper divisors (357302412).

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

195931152 is a wasteful number, since it uses less digits than its factorization.

195931152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12168 (or 12159 counting only the distinct ones).

The product of its digits is 12150, while the sum is 36.

The square root of 195931152 is about 13997.5409268914. The cubic root of 195931152 is about 580.8105512278.

The spelling of 195931152 in words is "one hundred ninety-five million, nine hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 12041 16272 24082 36123 48164 72246 96328 108369 144492 192656 216738 288984 433476 577968 866952 1360633 1733904 2721266 4081899 5442532 8163798 10885064 12245697 16327596 21770128 24491394 32655192 48982788 65310384 97965576 195931152