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488503968 = 25353671433
BaseRepresentation
bin11101000111011…
…111101010100000
31021001012120110120
4131013133222200
52000024111333
6120250200240
715051133551
oct3507375240
91231176416
10488503968
11230825297
12117723080
137a28b604
1448c42328
152cd46db3
hex1d1dfaa0

488503968 has 96 divisors (see below), whose sum is σ = 1326943296. Its totient is φ = 157267968.

The previous prime is 488503943. The next prime is 488503979. The reversal of 488503968 is 869305884.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4885039682 = 477272253503490048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 488503968.

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, 340180 + ... + 341612.

It is an arithmetic number, because the mean of its divisors is an integer number (13822326).

Almost surely, 2488503968 is an apocalyptic number.

488503968 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 488503968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663471648).

488503968 is an abundant number, since it is smaller than the sum of its proper divisors (838439328).

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

488503968 is a wasteful number, since it uses less digits than its factorization.

488503968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 488503968 is about 22102.1258706035. The cubic root of 488503968 is about 787.5703636800.

The spelling of 488503968 in words is "four hundred eighty-eight million, five hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 67 96 106 134 159 201 212 268 318 402 424 536 636 804 848 1072 1272 1433 1608 1696 2144 2544 2866 3216 3551 4299 5088 5732 6432 7102 8598 10653 11464 14204 17196 21306 22928 28408 34392 42612 45856 56816 68784 75949 85224 96011 113632 137568 151898 170448 192022 227847 288033 303796 340896 384044 455694 576066 607592 768088 911388 1152132 1215184 1536176 1822776 2304264 2430368 3072352 3645552 4608528 5088583 7291104 9217056 10177166 15265749 20354332 30531498 40708664 61062996 81417328 122125992 162834656 244251984 488503968