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195948448 = 2537167991
BaseRepresentation
bin10111010110111…
…10111110100000
3111122201012201221
423223132332200
5400130322243
631235504424
74566351163
oct1353367640
9448635657
10195948448
11a0675a73
1255758114
1331799137
141c049ada
1512308bed
hexbadefa0

195948448 has 48 divisors (see below), whose sum is σ = 398974464. Its totient is φ = 94659840.

The previous prime is 195948437. The next prime is 195948449. The reversal of 195948448 is 844849591.

It is a junction number, because it is equal to n+sod(n) for n = 195948395 and 195948404.

It is not an unprimeable number, because it can be changed into a prime (195948449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197233 + ... + 198223.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2195948448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195948448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199487232).

195948448 is an abundant number, since it is smaller than the sum of its proper divisors (203026016).

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

195948448 is a wasteful number, since it uses less digits than its factorization.

195948448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1197 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 52.

The square root of 195948448 is about 13998.1587360624. The cubic root of 195948448 is about 580.8276412509.

The spelling of 195948448 in words is "one hundred ninety-five million, nine hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 167 296 334 592 668 991 1184 1336 1982 2672 3964 5344 6179 7928 12358 15856 24716 31712 36667 49432 73334 98864 146668 165497 197728 293336 330994 586672 661988 1173344 1323976 2647952 5295904 6123389 12246778 24493556 48987112 97974224 195948448