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245545664 = 26721319317
BaseRepresentation
bin11101010001010…
…11101011000000
3122010001000022212
432220223223000
51000324430124
640210521252
76041050400
oct1650535300
9563030285
10245545664
11116671101
126a296228
133bb430c0
142487a800
151685440e
hexea2bac0

245545664 has 168 divisors, whose sum is σ = 644560560. Its totient is φ = 91736064.

The previous prime is 245545649. The next prime is 245545693. The reversal of 245545664 is 466545542.

Its product of digits (576000) is a multiple of the sum of its prime factors (375).

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 23 ways as a sum of consecutive naturals, for example, 774434 + ... + 774750.

It is an arithmetic number, because the mean of its divisors is an integer number (3836670).

Almost surely, 2245545664 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 245545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322280280).

245545664 is an abundant number, since it is smaller than the sum of its proper divisors (399014896).

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

245545664 is a wasteful number, since it uses less digits than its factorization.

245545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 358 counting only the distinct ones).

The product of its digits is 576000, while the sum is 41.

The square root of 245545664 is about 15669.8967450331. The cubic root of 245545664 is about 626.1966739055.

The spelling of 245545664 in words is "two hundred forty-five million, five hundred forty-five thousand, six hundred sixty-four".