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7482250000 = 24561732
BaseRepresentation
bin1101111011111101…
…00001001100010000
3201022110011200102101
412331332201030100
5110310424000000
63234242330144
7353263034641
oct67576411420
921273150371
107482250000
11319a598195
121549959954
139231b4a84
1450da116c8
152dbd27e6a
hex1bdfa1310

7482250000 has 105 divisors (see below), whose sum is σ = 18226192483. Its totient is φ = 2975600000.

The previous prime is 7482249997. The next prime is 7482250019. The reversal of 7482250000 is 522847.

The square root of 7482250000 is 86500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 7460122384 + 22127616 = 86372^2 + 4704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 43249914 + ... + 43250086.

Almost surely, 27482250000 is an apocalyptic number.

7482250000 is the 86500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7482250000

7482250000 is an abundant number, since it is smaller than the sum of its proper divisors (10743942483).

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

7482250000 is an frugal number, since it uses more digits than its factorization.

7482250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The cubic root of 7482250000 is about 1955.8884029879. Note that the first 3 decimals are identical.

Adding to 7482250000 its reverse (522847), we get a palindrome (7482772847).

The spelling of 7482250000 in words is "seven billion, four hundred eighty-two million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 173 200 250 346 400 500 625 692 865 1000 1250 1384 1730 2000 2500 2768 3125 3460 4325 5000 6250 6920 8650 10000 12500 13840 15625 17300 21625 25000 29929 31250 34600 43250 50000 59858 62500 69200 86500 108125 119716 125000 149645 173000 216250 239432 250000 299290 346000 432500 478864 540625 598580 748225 865000 1081250 1197160 1496450 1730000 2162500 2394320 2703125 2992900 3741125 4325000 5406250 5985800 7482250 8650000 10812500 11971600 14964500 18705625 21625000 29929000 37411250 43250000 59858000 74822500 93528125 149645000 187056250 299290000 374112500 467640625 748225000 935281250 1496450000 1870562500 3741125000 7482250000