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195164928 = 2832712101
BaseRepresentation
bin10111010000111…
…11101100000000
3111121020101221200
423220133230000
5344430234203
631211021200
74556605650
oct1350375400
9447211850
10195164928
11a0190332
125543a800
133158360a
141bcc4360
15122019a3
hexba1fb00

195164928 has 108 divisors (see below), whose sum is σ = 643148688. Its totient is φ = 55756800.

The previous prime is 195164923. The next prime is 195164929. The reversal of 195164928 is 829461591.

It is not an unprimeable number, because it can be changed into a prime (195164923) 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, 10078 + ... + 22178.

Almost surely, 2195164928 is an apocalyptic number.

195164928 is a gapful number since it is divisible by the number (18) 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 195164928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321574344).

195164928 is an abundant number, since it is smaller than the sum of its proper divisors (447983760).

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

195164928 is a wasteful number, since it uses less digits than its factorization.

195164928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12130 (or 12113 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 195164928 is about 13970.1441653263. The cubic root of 195164928 is about 580.0524407598.

The spelling of 195164928 in words is "one hundred ninety-five million, one hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 12101 16128 24202 36303 48404 72606 84707 96808 108909 145212 169414 193616 217818 254121 290424 338828 387232 435636 508242 580848 677656 762363 774464 871272 1016484 1161696 1355312 1524726 1548928 1742544 2032968 2323392 2710624 3049452 3097856 3485088 4065936 4646784 5421248 6098904 6970176 8131872 9293568 10842496 12197808 13940352 16263744 21684992 24395616 27880704 32527488 48791232 65054976 97582464 195164928