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490380528 = 2431171103127
BaseRepresentation
bin11101001110101…
…001110011110000
31021011201220121210
4131032221303300
52001014134103
6120354320120
715103110561
oct3516516360
91234656553
10490380528
11231897170
12118289040
137a7977c1
14491b0168
152d0b7e03
hex1d3a9cf0

490380528 has 160 divisors (see below), whose sum is σ = 1426194432. Its totient is φ = 143942400.

The previous prime is 490380511. The next prime is 490380581. The reversal of 490380528 is 825083094.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3861201 + ... + 3861327.

Almost surely, 2490380528 is an apocalyptic number.

490380528 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 490380528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713097216).

490380528 is an abundant number, since it is smaller than the sum of its proper divisors (935813904).

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

490380528 is a wasteful number, since it uses less digits than its factorization.

490380528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 490380528 is about 22144.5372044665. The cubic root of 490380528 is about 788.5775439109.

The spelling of 490380528 in words is "four hundred ninety million, three hundred eighty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 103 127 132 142 176 206 213 254 264 284 309 381 412 426 508 528 568 618 762 781 824 852 1016 1133 1136 1236 1397 1524 1562 1648 1704 2032 2266 2343 2472 2794 3048 3124 3399 3408 4191 4532 4686 4944 5588 6096 6248 6798 7313 8382 9017 9064 9372 11176 12496 13081 13596 14626 16764 18034 18128 18744 21939 22352 26162 27051 27192 29252 33528 36068 37488 39243 43878 52324 54102 54384 58504 67056 72136 78486 80443 87756 99187 104648 108204 117008 143891 144272 156972 160886 175512 198374 209296 216408 241329 287782 297561 313944 321772 351024 396748 431673 432816 482658 575564 595122 627888 643544 793496 863346 928751 965316 1151128 1190244 1287088 1586992 1726692 1857502 1930632 2302256 2380488 2786253 3453384 3715004 3861264 4760976 5572506 6906768 7430008 10216261 11145012 14860016 20432522 22290024 30648783 40865044 44580048 61297566 81730088 122595132 163460176 245190264 490380528