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192191272 = 237134147137
BaseRepresentation
bin10110111010010…
…01101100101000
3111101122022212021
423131021230220
5343200110042
631023154224
74522412260
oct1335115450
9441568767
10192191272
119953a169
1254445974
1330a81c60
141b74c7a0
1511d15867
hexb749b28

192191272 has 128 divisors (see below), whose sum is σ = 467389440. Its totient is φ = 72069120.

The previous prime is 192191257. The next prime is 192191281. The reversal of 192191272 is 272191291.

It is a happy number.

192191272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402788 + ... + 1402924.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 2192191272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192191272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233694720).

192191272 is an abundant number, since it is smaller than the sum of its proper divisors (275198168).

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

192191272 is a wasteful number, since it uses less digits than its factorization.

192191272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its digits is 4536, while the sum is 34.

The square root of 192191272 is about 13863.3066762587. The cubic root of 192191272 is about 577.0913353488.

The spelling of 192191272 in words is "one hundred ninety-two million, one hundred ninety-one thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 41 47 52 56 82 91 94 104 137 164 182 188 274 287 328 329 364 376 533 548 574 611 658 728 959 1066 1096 1148 1222 1316 1781 1918 1927 2132 2296 2444 2632 3562 3731 3836 3854 4264 4277 4888 5617 6439 7124 7462 7672 7708 8554 11234 12467 12878 13489 14248 14924 15416 17108 22468 24934 25051 25756 26978 29848 34216 39319 44936 45073 49868 50102 51512 53956 73021 78638 83707 90146 99736 100204 107912 146042 157276 167414 175357 180292 200408 263999 292084 314552 334828 350714 360584 511147 527998 584168 585949 669656 701428 1022294 1055996 1171898 1402856 1847993 2044588 2111992 2343796 3431987 3695986 4089176 4687592 6863974 7391972 13727948 14783944 24023909 27455896 48047818 96095636 192191272