[go: up one dir, main page]

Search a number
-
+
5089800 = 2335217499
BaseRepresentation
bin10011011010101000001000
3100120120220010
4103122220020
52300333200
6301031520
761156032
oct23325010
910516803
105089800
112967051
1218555a0
131092921
14966c52
156a8150
hex4daa08

5089800 has 96 divisors (see below), whose sum is σ = 16740000. Its totient is φ = 1274880.

The previous prime is 5089793. The next prime is 5089807. The reversal of 5089800 is 89805.

It is an interprime number because it is at equal distance from previous prime (5089793) and next prime (5089807).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5089807) 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, 9951 + ... + 10449.

It is an arithmetic number, because the mean of its divisors is an integer number (174375).

Almost surely, 25089800 is an apocalyptic number.

5089800 is a gapful number since it is divisible by the number (50) 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 5089800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8370000).

5089800 is an abundant number, since it is smaller than the sum of its proper divisors (11650200).

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

5089800 is a wasteful number, since it uses less digits than its factorization.

5089800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 5089800 is about 2256.0585098796. The cubic root of 5089800 is about 172.0152321106.

The spelling of 5089800 in words is "five million, eighty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 499 510 600 680 850 998 1020 1275 1497 1700 1996 2040 2495 2550 2994 3400 3992 4990 5100 5988 7485 8483 9980 10200 11976 12475 14970 16966 19960 24950 25449 29940 33932 37425 42415 49900 50898 59880 67864 74850 84830 99800 101796 127245 149700 169660 203592 212075 254490 299400 339320 424150 508980 636225 848300 1017960 1272450 1696600 2544900 5089800