Search a number
-
+
198245376 = 2103272439
BaseRepresentation
bin10111101000011…
…11110000000000
3111211000220112100
423310033300000
5401222323001
631401030400
74625025600
oct1364176000
9454026470
10198245376
11a19a475a
1256485400
13320c1774
141c486c00
151260e586
hexbd0fc00

198245376 has 198 divisors, whose sum is σ = 667403880. Its totient is φ = 56512512.

The previous prime is 198245357. The next prime is 198245393. The reversal of 198245376 is 673542891.

198245376 is a `hidden beast` number, since 1 + 98 + 24 + 537 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451365 + ... + 451803.

Almost surely, 2198245376 is an apocalyptic number.

198245376 is a gapful number since it is divisible by the number (16) 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 198245376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333701940).

198245376 is an abundant number, since it is smaller than the sum of its proper divisors (469158504).

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

198245376 is a wasteful number, since it uses less digits than its factorization.

198245376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 451 counting only the distinct ones).

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

The square root of 198245376 is about 14079.9636363167. The cubic root of 198245376 is about 583.0883380072.

It can be divided in two parts, 19824 and 5376, that added together give a triangular number (25200 = T224).

The spelling of 198245376 in words is "one hundred ninety-eight million, two hundred forty-five thousand, three hundred seventy-six".