Search a number
-
+
195797952 = 2633716187
BaseRepresentation
bin10111010101110…
…10001111000000
3111122102120022000
423222322033000
5400111013302
631232344000
74565153340
oct1352721700
9448376260
10195797952
11a0582999
12556a5000
133174579c
141c00ad20
15122c931c
hexbaba3c0

195797952 has 112 divisors (see below), whose sum is σ = 657880320. Its totient is φ = 55938816.

The previous prime is 195797929. The next prime is 195797957. The reversal of 195797952 is 259797591.

195797952 is a `hidden beast` number, since 19 + 579 + 7 + 9 + 52 = 666.

195797952 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195797957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4003 + ... + 20189.

Almost surely, 2195797952 is an apocalyptic number.

195797952 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 195797952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328940160).

195797952 is an abundant number, since it is smaller than the sum of its proper divisors (462082368).

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

195797952 is a wasteful number, since it uses less digits than its factorization.

195797952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16215 (or 16199 counting only the distinct ones).

The product of its digits is 1786050, while the sum is 54.

The square root of 195797952 is about 13992.7821393746. The cubic root of 195797952 is about 580.6789037882.

The spelling of 195797952 in words is "one hundred ninety-five million, seven hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 16187 32374 48561 64748 97122 113309 129496 145683 194244 226618 258992 291366 339927 388488 437049 453236 517984 582732 679854 776976 874098 906472 1019781 1035968 1165464 1359708 1553952 1748196 1812944 2039562 2330928 2719416 3059343 3107904 3496392 3625888 4079124 4661856 5438832 6118686 6992784 7251776 8158248 9323712 10877664 12237372 13985568 16316496 21755328 24474744 27971136 32632992 48949488 65265984 97898976 195797952