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458656068 = 2231328110463
BaseRepresentation
bin11011010101101…
…000100101000100
31011222001010211210
4123111220211010
51414403443233
6113302331420
714236340463
oct3325504504
91158033753
10458656068
11215999102
12109729b70
137403a930
1444cb29da
152a3ed163
hex1b568944

458656068 has 48 divisors (see below), whose sum is σ = 1156732416. Its totient is φ = 140609280.

The previous prime is 458656001. The next prime is 458656069. The reversal of 458656068 is 860656854.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (458656069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38605 + ... + 49067.

It is an arithmetic number, because the mean of its divisors is an integer number (24098592).

Almost surely, 2458656068 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 458656068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578366208).

458656068 is an abundant number, since it is smaller than the sum of its proper divisors (698076348).

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

458656068 is a wasteful number, since it uses less digits than its factorization.

458656068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10764 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 458656068 is about 21416.2570959540. The cubic root of 458656068 is about 771.1917610767.

The spelling of 458656068 in words is "four hundred fifty-eight million, six hundred fifty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 281 562 843 1124 1686 3372 3653 7306 10463 10959 14612 20926 21918 31389 41852 43836 62778 125556 136019 272038 408057 544076 816114 1632228 2940103 5880206 8820309 11760412 17640618 35281236 38221339 76442678 114664017 152885356 229328034 458656068