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245900928 = 27371331227
BaseRepresentation
bin11101010100000…
…10011010000000
3122010201001122210
432222002122000
51000422312203
640222302120
76044060220
oct1652023200
9563631583
10245900928
11116894009
126a427940
133bc38a10
1424930080
15168c4803
hexea82680

245900928 has 256 divisors, whose sum is σ = 833495040. Its totient is φ = 62484480.

The previous prime is 245900923. The next prime is 245900939. The reversal of 245900928 is 829009542.

245900928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2459009282 = 120934532782522368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (245900923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083151 + ... + 1083377.

It is an arithmetic number, because the mean of its divisors is an integer number (3255840).

Almost surely, 2245900928 is an apocalyptic number.

245900928 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 245900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416747520).

245900928 is an abundant number, since it is smaller than the sum of its proper divisors (587594112).

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

245900928 is a wasteful number, since it uses less digits than its factorization.

245900928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 245900928 is about 15681.2285233014. The cubic root of 245900928 is about 626.4985294105.

The spelling of 245900928 in words is "two hundred forty-five million, nine hundred thousand, nine hundred twenty-eight".