Search a number
-
+
197955472 = 241113241359
BaseRepresentation
bin10111100110010…
…00111110010000
3111210111011212011
423303020332100
5401134033342
631350512304
74622410441
oct1363107620
9453434764
10197955472
11a1816970
1256365694
133201c820
141c40d2c8
15125a3717
hexbcc8f90

197955472 has 80 divisors (see below), whose sum is σ = 453720960. Its totient is φ = 82483200.

The previous prime is 197955419. The next prime is 197955481. The reversal of 197955472 is 274559791.

It is a happy number.

197955472 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 15 ways as a sum of consecutive naturals, for example, 551229 + ... + 551587.

It is an arithmetic number, because the mean of its divisors is an integer number (5671512).

Almost surely, 2197955472 is an apocalyptic number.

197955472 is the 11488-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197955472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860480).

197955472 is an abundant number, since it is smaller than the sum of its proper divisors (255765488).

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

197955472 is a wasteful number, since it uses less digits than its factorization.

197955472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its digits is 793800, while the sum is 49.

The square root of 197955472 is about 14069.6649569206. The cubic root of 197955472 is about 582.8039730613.

The spelling of 197955472 in words is "one hundred ninety-seven million, nine hundred fifty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 241 286 359 482 572 718 964 1144 1436 1928 2288 2651 2872 3133 3856 3949 4667 5302 5744 6266 7898 9334 10604 12532 15796 18668 21208 25064 31592 34463 37336 42416 50128 51337 63184 68926 74672 86519 102674 137852 173038 205348 275704 346076 410696 551408 692152 821392 951709 1124747 1384304 1903418 2249494 3806836 4498988 7613672 8997976 12372217 15227344 17995952 24744434 49488868 98977736 197955472