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198395652 = 223713971873
BaseRepresentation
bin10111101001101…
…00011100000100
3111211022112200010
423310310130010
5401242130102
631404150220
74626222660
oct1364643404
9454275603
10198395652
11a1a97654
1256538370
1332144ca0
141c4c58a0
151263dd6c
hexbd34704

198395652 has 96 divisors (see below), whose sum is σ = 575932672. Its totient is φ = 51757056.

The previous prime is 198395651. The next prime is 198395657. The reversal of 198395652 is 256593891.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (198395651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104988 + ... + 106860.

Almost surely, 2198395652 is an apocalyptic number.

198395652 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 198395652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287966336).

198395652 is an abundant number, since it is smaller than the sum of its proper divisors (377537020).

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

198395652 is a wasteful number, since it uses less digits than its factorization.

198395652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1995 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The square root of 198395652 is about 14085.2991448531. The cubic root of 198395652 is about 583.2356336694.

The spelling of 198395652 in words is "one hundred ninety-eight million, three hundred ninety-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 97 156 182 194 273 291 364 388 546 582 679 1092 1164 1261 1358 1873 2037 2522 2716 3746 3783 4074 5044 5619 7492 7566 8148 8827 11238 13111 15132 17654 22476 24349 26222 26481 35308 39333 48698 52444 52962 73047 78666 97396 105924 146094 157332 170443 181681 292188 340886 363362 511329 545043 681772 726724 1022658 1090086 1271767 2045316 2180172 2361853 2543534 3815301 4723706 5087068 7085559 7630602 9447412 14171118 15261204 16532971 28342236 33065942 49598913 66131884 99197826 198395652