Search a number
-
+
197256384 = 2634132927
BaseRepresentation
bin10111100000111…
…10010011000000
3111202011122220000
423300132103000
5400444201014
631323520000
74613436333
oct1360362300
9452148800
10197256384
11a1389706
1256089000
1331b36570
141c2aa61a
15124b6509
hexbc1e4c0

197256384 has 140 divisors (see below), whose sum is σ = 629924064. Its totient is φ = 60673536.

The previous prime is 197256373. The next prime is 197256431. The reversal of 197256384 is 483652791.

197256384 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 5 + 638 + 4 = 666.

197256384 is digitally balanced in base 3, 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 19 ways as a sum of consecutive naturals, for example, 65929 + ... + 68855.

Almost surely, 2197256384 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 197256384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314962032).

197256384 is an abundant number, since it is smaller than the sum of its proper divisors (432667680).

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

197256384 is a wasteful number, since it uses less digits than its factorization.

197256384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2945 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 197256384 is about 14044.7991797676. The cubic root of 197256384 is about 582.1170983428.

The spelling of 197256384 in words is "one hundred ninety-seven million, two hundred fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 2927 3744 4212 5184 5616 5854 7488 8424 8781 11232 11708 16848 17562 22464 23416 26343 33696 35124 38051 46832 52686 67392 70248 76102 79029 93664 105372 114153 140496 152204 158058 187328 210744 228306 237087 280992 304408 316116 342459 421488 456612 474174 561984 608816 632232 684918 842976 913224 948348 1027377 1217632 1264464 1369836 1685952 1826448 1896696 2054754 2435264 2528928 2739672 3082131 3652896 3793392 4109508 5057856 5479344 6164262 7305792 7586784 8219016 10958688 12328524 15173568 16438032 21917376 24657048 32876064 49314096 65752128 98628192 197256384