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245654664 = 23331210651
BaseRepresentation
bin11101010010001…
…10010010001000
3122010020112211220
432221012102020
51000341422124
640213122040
76042013233
oct1651062210
9563215756
10245654664
11116735a92
126a329320
133bb808b8
14248a841a
1516876879
hexea46488

245654664 has 48 divisors (see below), whose sum is σ = 634646160. Its totient is φ = 79236000.

The previous prime is 245654663. The next prime is 245654683. The reversal of 245654664 is 466456542.

It is not an unprimeable number, because it can be changed into a prime (245654663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17739 + ... + 28389.

It is an arithmetic number, because the mean of its divisors is an integer number (13221795).

Almost surely, 2245654664 is an apocalyptic number.

245654664 is a gapful number since it is divisible by the number (24) 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 245654664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317323080).

245654664 is an abundant number, since it is smaller than the sum of its proper divisors (388991496).

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

245654664 is a wasteful number, since it uses less digits than its factorization.

245654664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10722 (or 10687 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The square root of 245654664 is about 15673.3743654645. The cubic root of 245654664 is about 626.2893183707.

The spelling of 245654664 in words is "two hundred forty-five million, six hundred fifty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 961 1922 2883 3844 5766 7688 10651 11532 21302 23064 31953 42604 63906 85208 127812 255624 330181 660362 990543 1320724 1981086 2641448 3962172 7924344 10235611 20471222 30706833 40942444 61413666 81884888 122827332 245654664