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40426386 = 237111353127
BaseRepresentation
bin1001101000110…
…1101110010010
32211001212120120
42122031232102
540322121021
64002251110
71000422120
oct232155622
984055516
1040426386
1120901a40
1211656a96
1384b5950
145524910
1538382c6
hex268db92

40426386 has 128 divisors (see below), whose sum is σ = 111476736. Its totient is φ = 9434880.

The previous prime is 40426349. The next prime is 40426403. The reversal of 40426386 is 68362404.

40426386 = 6212 + 6222 + ... + 7112.

40426386 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 (33).

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 318255 + ... + 318381.

It is an arithmetic number, because the mean of its divisors is an integer number (870912).

Almost surely, 240426386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40426386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55738368).

40426386 is an abundant number, since it is smaller than the sum of its proper divisors (71050350).

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

40426386 is a wasteful number, since it uses less digits than its factorization.

40426386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 40426386 is about 6358.1747380832. The cubic root of 40426386 is about 343.2060799234.

It can be divided in two parts, 40 and 426386, that added together give a triangular number (426426 = T923).

The spelling of 40426386 in words is "forty million, four hundred twenty-six thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 53 66 77 78 91 106 127 143 154 159 182 231 254 273 286 318 371 381 429 462 546 583 689 742 762 858 889 1001 1113 1166 1378 1397 1651 1749 1778 2002 2067 2226 2667 2794 3003 3302 3498 4081 4134 4191 4823 4953 5334 6006 6731 7579 8162 8382 9646 9779 9906 11557 12243 13462 14469 15158 18161 19558 20193 22737 23114 24486 28938 29337 34671 36322 40386 45474 47117 53053 54483 58674 69342 74041 87503 94234 106106 108966 127127 141351 148082 159159 175006 222123 254254 262509 282702 318318 381381 444246 518287 525018 612521 762762 962533 1036574 1225042 1554861 1837563 1925066 2887599 3109722 3675126 5775198 6737731 13475462 20213193 40426386