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488682944 = 26292511049
BaseRepresentation
bin11101001000001…
…011010111000000
31021001112122222022
4131020023113000
52000100323234
6120254101012
715052510421
oct3510132700
91231478868
10488682944
11230937802
121177aa768
137a321c09
1448c8b648
152cd7ee2e
hex1d20b5c0

488682944 has 56 divisors (see below), whose sum is σ = 1008126000. Its totient is φ = 234752000.

The previous prime is 488682937. The next prime is 488682967. The reversal of 488682944 is 449286884.

It is a super-2 number, since 2×4886829442 = 477622039513014272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465332 + ... + 466380.

It is an arithmetic number, because the mean of its divisors is an integer number (18002250).

Almost surely, 2488682944 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 488682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504063000).

488682944 is an abundant number, since it is smaller than the sum of its proper divisors (519443056).

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

488682944 is a wasteful number, since it uses less digits than its factorization.

488682944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1331 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 53.

The square root of 488682944 is about 22106.1743411202. The cubic root of 488682944 is about 787.6665341596. Note that the first 3 decimals are identical.

The spelling of 488682944 in words is "four hundred eighty-eight million, six hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 251 464 502 928 1004 1049 1856 2008 2098 4016 4196 7279 8032 8392 14558 16064 16784 29116 30421 33568 58232 60842 67136 116464 121684 232928 243368 263299 465856 486736 526598 973472 1053196 1946944 2106392 4212784 7635671 8425568 15271342 16851136 30542684 61085368 122170736 244341472 488682944