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245573328 = 2437111319269
BaseRepresentation
bin11101010001100…
…10011011010000
3122010002102021110
432220302123100
51000331321303
640211253320
76041224140
oct1650623320
9563072243
10245573328
1111668a970
126a2aa240
133bb52880
1424886920
151685c703
hexea326d0

245573328 has 320 divisors, whose sum is σ = 899942400. Its totient is φ = 55572480.

The previous prime is 245573311. The next prime is 245573353. The reversal of 245573328 is 823375542.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 912778 + ... + 913046.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2245573328 is an apocalyptic number.

245573328 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 245573328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449971200).

245573328 is an abundant number, since it is smaller than the sum of its proper divisors (654369072).

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

245573328 is a wasteful number, since it uses less digits than its factorization.

245573328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 245573328 is about 15670.7794317960. The cubic root of 245573328 is about 626.2201894966.

The spelling of 245573328 in words is "two hundred forty-five million, five hundred seventy-three thousand, three hundred twenty-eight".