Search a number
-
+
243873152 = 2713713907
BaseRepresentation
bin11101000100100…
…11010110000000
3121222220001001222
432202103112000
5444412420102
640111014212
76020613305
oct1642232600
9558801058
10243873152
11115729566
126980a368
133b6a8a53
14245630ac
1516623aa2
hexe893580

243873152 has 32 divisors (see below), whose sum is σ = 489422520. Its totient is φ = 121037824.

The previous prime is 243873131. The next prime is 243873169. The reversal of 243873152 is 251378342.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2438731522 = 118948228532830208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10583 + ... + 24489.

Almost surely, 2243873152 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 243873152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244711260).

243873152 is an abundant number, since it is smaller than the sum of its proper divisors (245549368).

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

243873152 is a wasteful number, since it uses less digits than its factorization.

243873152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14058 (or 14046 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 243873152 is about 15616.4385184331. The cubic root of 243873152 is about 624.7716729703.

The spelling of 243873152 in words is "two hundred forty-three million, eight hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 1096 2192 4384 8768 13907 17536 27814 55628 111256 222512 445024 890048 1780096 1905259 3810518 7621036 15242072 30484144 60968288 121936576 243873152