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40220004 = 22311535749
BaseRepresentation
bin1001100101101…
…1010101100100
32210200101110210
42121123111210
540244020004
63554015420
7665602326
oct231332544
983611423
1040220004
1120780980
1211577570
138442a26
1454ad616
1537e7089
hex265b564

40220004 has 48 divisors (see below), whose sum is σ = 104328000. Its totient is φ = 11955840.

The previous prime is 40219997. The next prime is 40220021. The reversal of 40220004 is 40002204.

40220004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 4122 + ... + 9870.

It is an arithmetic number, because the mean of its divisors is an integer number (2173500).

Almost surely, 240220004 is an apocalyptic number.

40220004 is a gapful number since it is divisible by the number (44) 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 40220004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52164000).

40220004 is an abundant number, since it is smaller than the sum of its proper divisors (64107996).

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

40220004 is a wasteful number, since it uses less digits than its factorization.

40220004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 40220004 is about 6341.9243136449. The cubic root of 40220004 is about 342.6210458897.

Adding to 40220004 its reverse (40002204), we get a palindrome (80222208).

The spelling of 40220004 in words is "forty million, two hundred twenty thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 5749 6996 11498 17247 22996 34494 63239 68988 126478 189717 252956 304697 379434 609394 758868 914091 1218788 1828182 3351667 3656364 6703334 10055001 13406668 20110002 40220004