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490518528 = 2113292753
BaseRepresentation
bin11101001111001…
…011100000000000
31021011222220220220
4131033023200000
52001033043103
6120401303040
715104224113
oct3517134000
91234886826
10490518528
11231980915
12118334a80
137a815566
144920857a
152d0e3c53
hex1d3cb800

490518528 has 96 divisors (see below), whose sum is σ = 1353315600. Its totient is φ = 157810688.

The previous prime is 490518451. The next prime is 490518593. The reversal of 490518528 is 825815094.

It is a happy number.

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

It is a super-2 number, since 2×4905185282 = 481216852622573568, 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 490518528.

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, 176800 + ... + 179552.

Almost surely, 2490518528 is an apocalyptic number.

490518528 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 490518528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676657800).

490518528 is an abundant number, since it is smaller than the sum of its proper divisors (862797072).

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

490518528 is a wasteful number, since it uses less digits than its factorization.

490518528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 490518528 is about 22147.6528779011. The cubic root of 490518528 is about 788.6515092557.

The spelling of 490518528 in words is "four hundred ninety million, five hundred eighteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2048 2753 2784 3072 3712 5506 5568 6144 7424 8259 11012 11136 14848 16518 22024 22272 29696 33036 44048 44544 59392 66072 79837 88096 89088 132144 159674 176192 178176 239511 264288 319348 352384 479022 528576 638696 704768 958044 1057152 1277392 1409536 1916088 2114304 2554784 2819072 3832176 4228608 5109568 5638144 7664352 8457216 10219136 15328704 16914432 20438272 30657408 40876544 61314816 81753088 122629632 163506176 245259264 490518528