Search a number
-
+
198590952 = 23377316193
BaseRepresentation
bin10111101011001…
…00000111101000
3111211200110120110
423311210013220
5401314402302
631412254320
74630665240
oct1365440750
9454613513
10198590952
11a211035a
12566113a0
13321b2b51
141c536b20
151267bb6c
hexbd641e8

198590952 has 64 divisors (see below), whose sum is σ = 575210880. Its totient is φ = 55959552.

The previous prime is 198590897. The next prime is 198590969. The reversal of 198590952 is 259095891.

It is a happy number.

198590952 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, 4168 + ... + 20360.

It is an arithmetic number, because the mean of its divisors is an integer number (8987670).

Almost surely, 2198590952 is an apocalyptic number.

198590952 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 198590952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287605440).

198590952 is an abundant number, since it is smaller than the sum of its proper divisors (376619928).

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

198590952 is a wasteful number, since it uses less digits than its factorization.

198590952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16282 (or 16278 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 48.

The square root of 198590952 is about 14092.2301996526. The cubic root of 198590952 is about 583.4269492927.

The spelling of 198590952 in words is "one hundred ninety-eight million, five hundred ninety thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 4088 6132 12264 16193 32386 48579 64772 97158 113351 129544 194316 226702 340053 388632 453404 680106 906808 1182089 1360212 2364178 2720424 3546267 4728356 7092534 8274623 9456712 14185068 16549246 24823869 28370136 33098492 49647738 66196984 99295476 198590952