Search a number
-
+
2480829300 = 2232525352009
BaseRepresentation
bin1001001111011110…
…0111001101110100
320101220010012000200
42103313213031310
520040043014200
61050100440500
7115322462325
oct22367471564
96356105020
102480829300
1110633aa854
125929a9130
13306c79641
141976a044c
15e7be0800
hex93de7374

2480829300 has 108 divisors (see below), whose sum is σ = 7922891340. Its totient is φ = 649059840.

The previous prime is 2480829287. The next prime is 2480829319. The reversal of 2480829300 is 39280842.

It can be written as a sum of positive squares in 6 ways, for example, as 281031696 + 2199797604 = 16764^2 + 46902^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21696 + ... + 73704.

It is an arithmetic number, because the mean of its divisors is an integer number (73360105).

Almost surely, 22480829300 is an apocalyptic number.

2480829300 is a gapful number since it is divisible by the number (20) 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 2480829300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961445670).

2480829300 is an abundant number, since it is smaller than the sum of its proper divisors (5442062040).

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

2480829300 is a wasteful number, since it uses less digits than its factorization.

2480829300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52082 (or 52072 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2480829300 is about 49807.9240683649. The cubic root of 2480829300 is about 1353.7307504623.

The spelling of 2480829300 in words is "two billion, four hundred eighty million, eight hundred twenty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 53 60 75 90 100 106 150 159 180 212 225 265 300 318 450 477 530 636 795 900 954 1060 1325 1590 1908 2385 2650 3180 3975 4770 5300 7950 9540 11925 15900 23850 47700 52009 104018 156027 208036 260045 312054 468081 520090 624108 780135 936162 1040180 1300225 1560270 1872324 2340405 2600450 2756477 3120540 3900675 4680810 5200900 5512954 7801350 8269431 9361620 11025908 11702025 13782385 15602700 16538862 23404050 24808293 27564770 33077724 41347155 46808100 49616586 55129540 68911925 82694310 99233172 124041465 137823850 165388620 206735775 248082930 275647700 413471550 496165860 620207325 826943100 1240414650 2480829300