Search a number
-
+
198746352 = 24337241229
BaseRepresentation
bin10111101100010…
…10000011110000
3111211222100202000
423312022003300
5401334340402
631415454000
74632213300
oct1366120360
9454870660
10198746352
11a2207092
1256687300
13322387bc
141c577600
15126acc1c
hexbd8a0f0

198746352 has 240 divisors, whose sum is σ = 682768800. Its totient is φ = 55157760.

The previous prime is 198746347. The next prime is 198746377. The reversal of 198746352 is 253647891.

198746352 is a `hidden beast` number, since 1 + 9 + 8 + 7 + 4 + 635 + 2 = 666.

198746352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1987463522 = 79000224866615808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198746298 and 198746307.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 867774 + ... + 868002.

It is an arithmetic number, because the mean of its divisors is an integer number (2844870).

Almost surely, 2198746352 is an apocalyptic number.

198746352 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 198746352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341384400).

198746352 is an abundant number, since it is smaller than the sum of its proper divisors (484022448).

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

198746352 is a wasteful number, since it uses less digits than its factorization.

198746352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 282 counting only the distinct ones).

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

The square root of 198746352 is about 14097.7427980510. The cubic root of 198746352 is about 583.5790893383.

The spelling of 198746352 in words is "one hundred ninety-eight million, seven hundred forty-six thousand, three hundred fifty-two".