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468244668 = 2231717912823
BaseRepresentation
bin11011111010001…
…101100010111100
31012122002021221010
4123322031202330
51424332312133
6114244035220
714414004543
oct3372154274
91178067833
10468244668
11220348171
12110992b10
1376017168
144628b15a
152b194263
hex1be8d8bc

468244668 has 48 divisors (see below), whose sum is σ = 1163393280. Its totient is φ = 146068224.

The previous prime is 468244663. The next prime is 468244727. The reversal of 468244668 is 866442864.

It is a super-2 number, since 2×4682446682 = 438506138220860448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468244663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30105 + ... + 42927.

It is an arithmetic number, because the mean of its divisors is an integer number (24237360).

Almost surely, 2468244668 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 468244668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581696640).

468244668 is an abundant number, since it is smaller than the sum of its proper divisors (695148612).

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

468244668 is a wasteful number, since it uses less digits than its factorization.

468244668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13026 (or 13024 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The square root of 468244668 is about 21638.9618050405. The cubic root of 468244668 is about 776.5288822936.

The spelling of 468244668 in words is "four hundred sixty-eight million, two hundred forty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 179 204 358 537 716 1074 2148 3043 6086 9129 12172 12823 18258 25646 36516 38469 51292 76938 153876 217991 435982 653973 871964 1307946 2295317 2615892 4590634 6885951 9181268 13771902 27543804 39020389 78040778 117061167 156081556 234122334 468244668