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490463168 = 26131394241
BaseRepresentation
bin11101001110111…
…101111111000000
31021011220002222112
4131032331333000
52001024310133
6120400154452
715103603526
oct3516757700
91234802875
10490463168
11231943268
12118308a28
137a7c62c0
14491d2316
152d0d2648
hex1d3bdfc0

490463168 has 56 divisors (see below), whose sum is σ = 1055918640. Its totient is φ = 224686080.

The previous prime is 490463153. The next prime is 490463173. The reversal of 490463168 is 861364094.

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, 113528 + ... + 117768.

It is an arithmetic number, because the mean of its divisors is an integer number (18855690).

Almost surely, 2490463168 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 490463168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527959320).

490463168 is an abundant number, since it is smaller than the sum of its proper divisors (565455472).

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

490463168 is a wasteful number, since it uses less digits than its factorization.

490463168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 490463168 is about 22146.4030488023. The cubic root of 490463168 is about 788.6218390274.

The spelling of 490463168 in words is "four hundred ninety million, four hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 139 208 278 416 556 832 1112 1807 2224 3614 4241 4448 7228 8482 8896 14456 16964 28912 33928 55133 57824 67856 110266 115648 135712 220532 271424 441064 589499 882128 1178998 1764256 2357996 3528512 4715992 7663487 9431984 15326974 18863968 30653948 37727936 61307896 122615792 245231584 490463168