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488568054 = 231337414129
BaseRepresentation
bin11101000111101…
…111010011110110
31021001022211101010
4131013233103312
52000033134204
6120251413050
715051521442
oct3507572366
91231284333
10488568054
11230869457
12117754186
137a2b1830
1448c5b822
152cd5ad89
hex1d1ef4f6

488568054 has 64 divisors (see below), whose sum is σ = 1107368640. Its totient is φ = 142663680.

The previous prime is 488567983. The next prime is 488568061. The reversal of 488568054 is 450865884.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 488567994 and 488568012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116262 + ... + 120390.

It is an arithmetic number, because the mean of its divisors is an integer number (17302635).

Almost surely, 2488568054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488568054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553684320).

488568054 is an abundant number, since it is smaller than the sum of its proper divisors (618800586).

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

488568054 is a wasteful number, since it uses less digits than its factorization.

488568054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225.

The product of its (nonzero) digits is 1228800, while the sum is 48.

The square root of 488568054 is about 22103.5755931026. The cubic root of 488568054 is about 787.6048021771.

The spelling of 488568054 in words is "four hundred eighty-eight million, five hundred sixty-eight thousand, fifty-four".

Divisors: 1 2 3 6 13 26 37 39 41 74 78 82 111 123 222 246 481 533 962 1066 1443 1517 1599 2886 3034 3198 4129 4551 8258 9102 12387 19721 24774 39442 53677 59163 107354 118326 152773 161031 169289 305546 322062 338578 458319 507867 916638 1015734 1986049 2200757 3972098 4401514 5958147 6263693 6602271 11916294 12527386 13204542 18791079 37582158 81428009 162856018 244284027 488568054