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481223568 = 24374313323
BaseRepresentation
bin11100101011101…
…110001110010000
31020112111200122010
4130223232032100
51441143123233
6115430142520
714632222110
oct3453561620
91215450563
10481223568
11227702431
121151b1a40
137890c897
1447ca9040
152c3a9b63
hex1caee390

481223568 has 80 divisors (see below), whose sum is σ = 1424480256. Its totient is φ = 137132160.

The previous prime is 481223557. The next prime is 481223579. The reversal of 481223568 is 865322184.

It is an interprime number because it is at equal distance from previous prime (481223557) and next prime (481223579).

It is a super-2 number, since 2×4812235682 = 463152244797301248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143155 + ... + 146477.

Almost surely, 2481223568 is an apocalyptic number.

481223568 is a gapful number since it is divisible by the number (48) 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 481223568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712240128).

481223568 is an abundant number, since it is smaller than the sum of its proper divisors (943256688).

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

481223568 is a wasteful number, since it uses less digits than its factorization.

481223568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3766 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 481223568 is about 21936.8085190166. The cubic root of 481223568 is about 783.6382563408.

The spelling of 481223568 in words is "four hundred eighty-one million, two hundred twenty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 431 862 1293 1724 2586 3017 3323 3448 5172 6034 6646 6896 9051 9969 10344 12068 13292 18102 19938 20688 23261 24136 26584 36204 39876 46522 48272 53168 69783 72408 79752 93044 139566 144816 159504 186088 279132 372176 558264 1116528 1432213 2864426 4296639 5728852 8593278 10025491 11457704 17186556 20050982 22915408 30076473 34373112 40101964 60152946 68746224 80203928 120305892 160407856 240611784 481223568