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490717104 = 2431719311021
BaseRepresentation
bin11101001111111…
…011111110110000
31021012101000022120
4131033323332300
52001110421404
6120405434240
715106012053
oct3517737660
91235330276
10490717104
11231aa7029
1211840b980
137a884a67
144925aa9a
152d1329d9
hex1d3fbfb0

490717104 has 160 divisors (see below), whose sum is σ = 1459906560. Its totient is φ = 141004800.

The previous prime is 490717103. The next prime is 490717127. The reversal of 490717104 is 401717094.

It is not an unprimeable number, because it can be changed into a prime (490717103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480114 + ... + 481134.

It is an arithmetic number, because the mean of its divisors is an integer number (9124416).

Almost surely, 2490717104 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 490717104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729953280).

490717104 is an abundant number, since it is smaller than the sum of its proper divisors (969189456).

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

490717104 is a wasteful number, since it uses less digits than its factorization.

490717104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 490717104 is about 22152.1354275384. The cubic root of 490717104 is about 788.7579178314.

The spelling of 490717104 in words is "four hundred ninety million, seven hundred seventeen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 31 34 38 48 51 57 62 68 76 93 102 114 124 136 152 186 204 228 248 272 304 323 372 408 456 496 527 589 646 744 816 912 969 1021 1054 1178 1292 1488 1581 1767 1938 2042 2108 2356 2584 3063 3162 3534 3876 4084 4216 4712 5168 6126 6324 7068 7752 8168 8432 9424 10013 12252 12648 14136 15504 16336 17357 19399 20026 24504 25296 28272 30039 31651 34714 38798 40052 49008 52071 58197 60078 63302 69428 77596 80104 94953 104142 116394 120156 126604 138856 155192 160208 189906 208284 232788 240312 253208 277712 310384 329783 379812 416568 465576 480624 506416 538067 601369 659566 759624 833136 931152 989349 1076134 1202738 1319132 1519248 1614201 1804107 1978698 2152268 2405476 2638264 3228402 3608214 3957396 4304536 4810952 5276528 6456804 7216428 7914792 8609072 9621904 10223273 12913608 14432856 15829584 20446546 25827216 28865712 30669819 40893092 61339638 81786184 122679276 163572368 245358552 490717104