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488054880 = 25325338927
BaseRepresentation
bin11101000101110…
…010000001100000
31021000100202102200
4131011302001200
51444420224010
6120232413200
715044253345
oct3505620140
91230322380
10488054880
11230548945
12117547200
137a162091
1448b667cc
152cca8cc0
hex1d172060

488054880 has 72 divisors (see below), whose sum is σ = 1665492192. Its totient is φ = 130147584.

The previous prime is 488054869. The next prime is 488054911. The reversal of 488054880 is 88450884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 168024 + ... + 170903.

It is an arithmetic number, because the mean of its divisors is an integer number (23131836).

Almost surely, 2488054880 is an apocalyptic number.

488054880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488054880 is an abundant number, since it is smaller than the sum of its proper divisors (1177437312).

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

488054880 is a wasteful number, since it uses less digits than its factorization.

488054880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338948 (or 338937 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 488054880 is about 22091.9641498894. The cubic root of 488054880 is about 787.3289484876.

The spelling of 488054880 in words is "four hundred eighty-eight million, fifty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 338927 677854 1016781 1355708 1694635 2033562 2711416 3050343 3389270 4067124 5083905 5422832 6100686 6778540 8134248 10167810 10845664 12201372 13557080 15251715 16268496 20335620 24402744 27114160 30503430 32536992 40671240 48805488 54228320 61006860 81342480 97610976 122013720 162684960 244027440 488054880