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40400300 = 22523761179
BaseRepresentation
bin1001101000011…
…1010110101100
32211000112210102
42122013112230
540320302200
64001530232
71000253063
oct232072654
984015712
1040400300
1120894386
1211643978
1384a6b05
1455191da
1538306d5
hex26875ac

40400300 has 72 divisors (see below), whose sum is σ = 92025360. Its totient is φ = 15379200.

The previous prime is 40400299. The next prime is 40400323. The reversal of 40400300 is 300404.

40400300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225611 + ... + 225789.

It is an arithmetic number, because the mean of its divisors is an integer number (1278130).

Almost surely, 240400300 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 40400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46012680).

40400300 is an abundant number, since it is smaller than the sum of its proper divisors (51625060).

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

40400300 is a wasteful number, since it uses less digits than its factorization.

40400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 40400300 is about 6356.1230321636. The cubic root of 40400300 is about 343.1322436574.

Adding to 40400300 its reverse (300404), we get a palindrome (40700704).

The spelling of 40400300 in words is "forty million, four hundred thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 61 74 100 122 148 179 185 244 305 358 370 610 716 740 895 925 1220 1525 1790 1850 2257 3050 3580 3700 4475 4514 6100 6623 8950 9028 10919 11285 13246 17900 21838 22570 26492 33115 43676 45140 54595 56425 66230 109190 112850 132460 165575 218380 225700 272975 331150 404003 545950 662300 808006 1091900 1616012 2020015 4040030 8080060 10100075 20200150 40400300