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40426224 = 2431922333
BaseRepresentation
bin1001101000110…
…1101011110000
32211001212100120
42122031223300
540322114344
64002250240
71000421466
oct232155360
984055316
1040426224
1120901903
1211656980
1384b5857
145524836
153838219
hex268daf0

40426224 has 60 divisors (see below), whose sum is σ = 110267496. Its totient is φ = 12760704.

The previous prime is 40426219. The next prime is 40426273. The reversal of 40426224 is 42262404.

40426224 = 1382 + 1392 + ... + 4982.

40426224 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 40426194 and 40426203.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 16162 + ... + 18494.

Almost surely, 240426224 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 40426224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55133748).

40426224 is an abundant number, since it is smaller than the sum of its proper divisors (69841272).

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

40426224 is a wasteful number, since it uses less digits than its factorization.

40426224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 40426224 is about 6358.1619985653. The cubic root of 40426224 is about 343.2056214814.

Adding to 40426224 its reverse (42262404), we get a palindrome (82688628).

The spelling of 40426224 in words is "forty million, four hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 722 912 1083 1444 2166 2333 2888 4332 4666 5776 6999 8664 9332 13998 17328 18664 27996 37328 44327 55992 88654 111984 132981 177308 265962 354616 531924 709232 842213 1063848 1684426 2127696 2526639 3368852 5053278 6737704 10106556 13475408 20213112 40426224