Search a number
-
+
244956096 = 26337211263
BaseRepresentation
bin11101001100110…
…11101111000000
3122001221001121000
432212123233000
51000202043341
640150132000
76033043500
oct1646335700
9561831530
10244956096
111162a9160
126a051000
133b997948
1424765a00
15167898b6
hexe99bbc0

244956096 has 336 divisors, whose sum is σ = 917326080. Its totient is φ = 63383040.

The previous prime is 244956091. The next prime is 244956133. The reversal of 244956096 is 690659442.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2449560962 = 120006977935122432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244956091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931261 + ... + 931523.

Almost surely, 2244956096 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 244956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458663040).

244956096 is an abundant number, since it is smaller than the sum of its proper divisors (672369984).

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

244956096 is a wasteful number, since it uses less digits than its factorization.

244956096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 244956096 is about 15651.0733178271. The cubic root of 244956096 is about 625.6950952482.

The spelling of 244956096 in words is "two hundred forty-four million, nine hundred fifty-six thousand, ninety-six".