Search a number
-
+
245823368 = 23719463499
BaseRepresentation
bin11101010011011…
…11011110001000
3122010120010021012
432221233132020
51000412321433
640220503052
76043315130
oct1651573610
9563503235
10245823368
1111684080a
126a3aaa88
133bc0c61b
142490dac0
15168ab848
hexea6f788

245823368 has 64 divisors (see below), whose sum is σ = 556800000. Its totient is φ = 99392832.

The previous prime is 245823299. The next prime is 245823377. The reversal of 245823368 is 863328542.

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, 492383 + ... + 492881.

It is an arithmetic number, because the mean of its divisors is an integer number (8700000).

Almost surely, 2245823368 is an apocalyptic number.

245823368 is a gapful number since it is divisible by the number (28) 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 245823368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278400000).

245823368 is an abundant number, since it is smaller than the sum of its proper divisors (310976632).

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

245823368 is a wasteful number, since it uses less digits than its factorization.

245823368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 990 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

The square root of 245823368 is about 15678.7553077405. The cubic root of 245823368 is about 626.4326541873.

The spelling of 245823368 in words is "two hundred forty-five million, eight hundred twenty-three thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 463 499 532 926 998 1064 1852 1996 3241 3493 3704 3992 6482 6986 8797 9481 12964 13972 17594 18962 25928 27944 35188 37924 61579 66367 70376 75848 123158 132734 231037 246316 265468 462074 492632 530936 924148 1617259 1848296 3234518 4389703 6469036 8779406 12938072 17558812 30727921 35117624 61455842 122911684 245823368