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40231664 = 24111953227
BaseRepresentation
bin1001100101111…
…0001011110000
32210200222110122
42121132023300
540244403124
63554145412
7665651324
oct231361360
983628418
1040231664
1120789710
1211582268
138448125
1454b3984
1537ea75e
hex265e2f0

40231664 has 80 divisors (see below), whose sum is σ = 91601280. Its totient is φ = 16922880.

The previous prime is 40231657. The next prime is 40231693. The reversal of 40231664 is 46613204.

40231664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 177119 + ... + 177345.

It is an arithmetic number, because the mean of its divisors is an integer number (1145016).

Almost surely, 240231664 is an apocalyptic number.

40231664 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 40231664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45800640).

40231664 is an abundant number, since it is smaller than the sum of its proper divisors (51369616).

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

40231664 is a wasteful number, since it uses less digits than its factorization.

40231664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 40231664 is about 6342.8435263689. The cubic root of 40231664 is about 342.6541519315.

Adding to 40231664 its reverse (46613204), we get a palindrome (86844868).

The spelling of 40231664 in words is "forty million, two hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 53 76 88 106 152 176 209 212 227 304 418 424 454 583 836 848 908 1007 1166 1672 1816 2014 2332 2497 3344 3632 4028 4313 4664 4994 8056 8626 9328 9988 11077 12031 16112 17252 19976 22154 24062 34504 39952 44308 47443 48124 69008 88616 94886 96248 132341 177232 189772 192496 228589 264682 379544 457178 529364 759088 914356 1058728 1828712 2117456 2514479 3657424 5028958 10057916 20115832 40231664