Search a number
-
+
490044528 = 243231151727
BaseRepresentation
bin11101001101010…
…111110001110000
31021011002211201100
4131031113301300
52000422411103
6120343204400
715100211151
oct3515276160
91234084640
10490044528
11231687786
12118146700
137a6aa89c
1449123928
152d04d5a3
hex1d357c70

490044528 has 120 divisors (see below), whose sum is σ = 1427019776. Its totient is φ = 156816000.

The previous prime is 490044517. The next prime is 490044553. The reversal of 490044528 is 825440094.

490044528 is a `hidden beast` number, since 4 + 90 + 0 + 44 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 490044492 and 490044501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673701 + ... + 674427.

Almost surely, 2490044528 is an apocalyptic number.

490044528 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 490044528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713509888).

490044528 is an abundant number, since it is smaller than the sum of its proper divisors (936975248).

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

490044528 is a wasteful number, since it uses less digits than its factorization.

490044528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 490044528 is about 22136.9493833274. The cubic root of 490044528 is about 788.3973963327.

The spelling of 490044528 in words is "four hundred ninety million, forty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 151 186 248 279 302 372 453 496 558 604 727 744 906 1116 1208 1359 1454 1488 1812 2181 2232 2416 2718 2908 3624 4362 4464 4681 5436 5816 6543 7248 8724 9362 10872 11632 13086 14043 17448 18724 21744 22537 26172 28086 34896 37448 42129 45074 52344 56172 67611 74896 84258 90148 104688 109777 112344 135222 168516 180296 202833 219554 224688 270444 329331 337032 360592 405666 439108 540888 658662 674064 811332 878216 987993 1081776 1317324 1622664 1756432 1975986 2634648 3245328 3403087 3951972 5269296 6806174 7903944 10209261 13612348 15807888 20418522 27224696 30627783 40837044 54449392 61255566 81674088 122511132 163348176 245022264 490044528