[go: up one dir, main page]

Search a number
-
+
5750352 = 24361729
BaseRepresentation
bin10101111011111001010000
3101211011000000
4111323321100
52433002402
6323130000
766606606
oct25737120
911734000
105750352
113278363
121b13900
13126449a
14a99876
15788c1c
hex57be50

5750352 has 140 divisors (see below), whose sum is σ = 18296820. Its totient is φ = 1741824.

The previous prime is 5750351. The next prime is 5750359. The reversal of 5750352 is 2530575.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 1971216 = 1944^2 + 1404^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5750351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 198274 + ... + 198302.

Almost surely, 25750352 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 5750352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9148410).

5750352 is an abundant number, since it is smaller than the sum of its proper divisors (12546468).

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

5750352 is a wasteful number, since it uses less digits than its factorization.

5750352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 5750352 is about 2397.9891576068. The cubic root of 5750352 is about 179.1560492236.

The spelling of 5750352 in words is "five million, seven hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 29 34 36 48 51 54 58 68 72 81 87 102 108 116 136 144 153 162 174 204 216 232 243 261 272 306 324 348 408 432 459 464 486 493 522 612 648 696 729 783 816 918 972 986 1044 1224 1296 1377 1392 1458 1479 1566 1836 1944 1972 2088 2349 2448 2754 2916 2958 3132 3672 3888 3944 4131 4176 4437 4698 5508 5832 5916 6264 7047 7344 7888 8262 8874 9396 11016 11664 11832 12393 12528 13311 14094 16524 17748 18792 21141 22032 23664 24786 26622 28188 33048 35496 37584 39933 42282 49572 53244 56376 66096 70992 79866 84564 99144 106488 112752 119799 159732 169128 198288 212976 239598 319464 338256 359397 479196 638928 718794 958392 1437588 1916784 2875176 5750352