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195427872 = 253223163181
BaseRepresentation
bin10111010010111…
…11111000100000
3111121201202122100
423221133320200
5400012142442
631220410400
74562052363
oct1351377040
9447652570
10195427872
11a034a942
1255546a00
13316461c3
141bd520da
151225484c
hexba5fe20

195427872 has 144 divisors (see below), whose sum is σ = 586692288. Its totient is φ = 61585920.

The previous prime is 195427831. The next prime is 195427873. The reversal of 195427872 is 278724591.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (195427873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1079622 + ... + 1079802.

It is an arithmetic number, because the mean of its divisors is an integer number (4074252).

Almost surely, 2195427872 is an apocalyptic number.

195427872 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 195427872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293346144).

195427872 is an abundant number, since it is smaller than the sum of its proper divisors (391264416).

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

195427872 is a wasteful number, since it uses less digits than its factorization.

195427872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 195427872 is about 13979.5519241498. The cubic root of 195427872 is about 580.3128237171.

The spelling of 195427872 in words is "one hundred ninety-five million, four hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 163 181 184 207 276 288 326 362 368 414 489 543 552 652 724 736 828 978 1086 1104 1304 1448 1467 1629 1656 1956 2172 2208 2608 2896 2934 3258 3312 3749 3912 4163 4344 5216 5792 5868 6516 6624 7498 7824 8326 8688 11247 11736 12489 13032 14996 15648 16652 17376 22494 23472 24978 26064 29503 29992 33304 33741 37467 44988 46944 49956 52128 59006 59984 66608 67482 74934 88509 89976 99912 118012 119968 133216 134964 149868 177018 179952 199824 236024 265527 269928 299736 354036 359904 399648 472048 531054 539856 599472 678569 708072 944096 1062108 1079712 1198944 1357138 1416144 2035707 2124216 2714276 2832288 4071414 4248432 5428552 6107121 8142828 8496864 10857104 12214242 16285656 21714208 24428484 32571312 48856968 65142624 97713936 195427872