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48390300 = 22325277681
BaseRepresentation
bin1011100010011…
…0000010011100
310101001111000100
42320212002130
544341442200
64445101100
71125211410
oct270460234
9111044010
1048390300
1125351392
1214257790
13a04381a
1465d8d40
1543acd00
hex2e2609c

48390300 has 108 divisors (see below), whose sum is σ = 173367376. Its totient is φ = 11059200.

The previous prime is 48390289. The next prime is 48390301. The reversal of 48390300 is 309384.

It is a super-2 number, since 2×483903002 = 4683242268180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48390301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2460 + ... + 10140.

Almost surely, 248390300 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 48390300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86683688).

48390300 is an abundant number, since it is smaller than the sum of its proper divisors (124977076).

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

48390300 is a wasteful number, since it uses less digits than its factorization.

48390300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7708 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 48390300 is about 6956.3136789538. The cubic root of 48390300 is about 364.4064915063.

Adding to 48390300 its reverse (309384), we get a palindrome (48699684).

The spelling of 48390300 in words is "forty-eight million, three hundred ninety thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 7681 15362 23043 30724 38405 46086 53767 69129 76810 92172 107534 115215 138258 153620 161301 192025 215068 230430 268835 276516 322602 345645 384050 460860 483903 537670 576075 645204 691290 768100 806505 967806 1075340 1152150 1344175 1382580 1613010 1728225 1935612 2304300 2419515 2688350 3226020 3456450 4032525 4839030 5376700 6912900 8065050 9678060 12097575 16130100 24195150 48390300