[go: up one dir, main page]

Search a number
-
+
5758480 = 2457213113
BaseRepresentation
bin10101111101111000010000
3101211120011001
4111331320100
52433232410
6323231344
766642400
oct25757020
911746131
105758480
113283482
121b18554
1312680b0
14a9c800
1578b33a
hex57de10

5758480 has 120 divisors (see below), whose sum is σ = 16920792. Its totient is φ = 1806336.

The previous prime is 5758477. The next prime is 5758481. The reversal of 5758480 is 848575.

It can be written as a sum of positive squares in 4 ways, for example, as 226576 + 5531904 = 476^2 + 2352^2 .

It is not an unprimeable number, because it can be changed into a prime (5758481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50904 + ... + 51016.

Almost surely, 25758480 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 5758480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460396).

5758480 is an abundant number, since it is smaller than the sum of its proper divisors (11162312).

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

5758480 is a wasteful number, since it uses less digits than its factorization.

5758480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 5758480 is about 2399.6833124394. The cubic root of 5758480 is about 179.2404205695.

The spelling of 5758480 in words is "five million, seven hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 113 130 140 182 196 208 226 245 260 280 364 392 452 455 490 520 560 565 637 728 784 791 904 910 980 1040 1130 1274 1456 1469 1582 1808 1820 1960 2260 2548 2938 3164 3185 3640 3920 3955 4520 5096 5537 5876 6328 6370 7280 7345 7910 9040 10192 10283 11074 11752 12656 12740 14690 15820 20566 22148 23504 25480 27685 29380 31640 41132 44296 50960 51415 55370 58760 63280 71981 82264 88592 102830 110740 117520 143962 164528 205660 221480 287924 359905 411320 442960 575848 719810 822640 1151696 1439620 2879240 5758480