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195628032 = 2103221227
BaseRepresentation
bin10111010100100…
…00110000000000
3111122002221012200
423222100300000
5400040044112
631224553200
74563545055
oct1352206000
9448087180
10195628032
11a0477266
1255622800
13316b6342
141bda502c
1512293cdc
hexba90c00

195628032 has 66 divisors (see below), whose sum is σ = 564898308. Its totient is φ = 65206272.

The previous prime is 195628031. The next prime is 195628049. The reversal of 195628032 is 230826591.

195628032 is a `hidden beast` number, since 19 + 562 + 80 + 3 + 2 = 666.

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 (195628031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1398 + ... + 19829.

Almost surely, 2195628032 is an apocalyptic number.

195628032 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 195628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282449154).

195628032 is an abundant number, since it is smaller than the sum of its proper divisors (369270276).

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

195628032 is a wasteful number, since it uses less digits than its factorization.

195628032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21253 (or 21232 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 195628032 is about 13986.7091197322. The cubic root of 195628032 is about 580.5108776592.

The spelling of 195628032 in words is "one hundred ninety-five million, six hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 21227 42454 63681 84908 127362 169816 191043 254724 339632 382086 509448 679264 764172 1018896 1358528 1528344 2037792 2717056 3056688 4075584 5434112 6113376 8151168 10868224 12226752 16302336 21736448 24453504 32604672 48907008 65209344 97814016 195628032