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5238090 = 23251121337
BaseRepresentation
bin10011111110110101001010
3100212010022100
4103332311022
52320104330
6304134230
762344254
oct23766512
910763270
105238090
112a58500
121907376
131115280
149a4cd4
156d7060
hex4fed4a

5238090 has 144 divisors (see below), whose sum is σ = 16556904. Its totient is φ = 1140480.

The previous prime is 5238083. The next prime is 5238113. The reversal of 5238090 is 908325.

5238090 = T196 + T197 + ... + T338.

It can be written as a sum of positive squares in 4 ways, for example, as 4322241 + 915849 = 2079^2 + 957^2 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141552 + ... + 141588.

Almost surely, 25238090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5238090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8278452).

5238090 is an abundant number, since it is smaller than the sum of its proper divisors (11318814).

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

5238090 is a wasteful number, since it uses less digits than its factorization.

5238090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5238090 is about 2288.6873967408. The cubic root of 5238090 is about 173.6698058229.

The spelling of 5238090 in words is "five million, two hundred thirty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 37 39 45 55 65 66 74 78 90 99 110 111 117 121 130 143 165 185 195 198 222 234 242 286 330 333 363 370 390 407 429 481 495 555 585 605 666 715 726 814 858 962 990 1089 1110 1170 1210 1221 1287 1430 1443 1573 1665 1815 2035 2145 2178 2405 2442 2574 2886 3146 3330 3630 3663 4070 4290 4329 4477 4719 4810 5291 5445 6105 6435 7215 7326 7865 8658 8954 9438 10582 10890 12210 12870 13431 14157 14430 15730 15873 18315 21645 22385 23595 26455 26862 28314 31746 36630 40293 43290 44770 47190 47619 52910 58201 67155 70785 79365 80586 95238 116402 134310 141570 158730 174603 201465 238095 291005 349206 402930 476190 523809 582010 873015 1047618 1746030 2619045 5238090