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40642520 = 23519531009
BaseRepresentation
bin1001101100001…
…0011111011000
32211110212001112
42123002133120
540401030040
64011035452
71002312212
oct233023730
984425045
1040642520
1120a3a366
121173bb88
138560139
14557d5b2
15387c365
hex26c27d8

40642520 has 64 divisors (see below), whose sum is σ = 98172000. Its totient is φ = 15095808.

The previous prime is 40642517. The next prime is 40642549. The reversal of 40642520 is 2524604.

40642520 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, 39776 + ... + 40784.

Almost surely, 240642520 is an apocalyptic number.

40642520 is a gapful number since it is divisible by the number (40) 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 40642520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49086000).

40642520 is an abundant number, since it is smaller than the sum of its proper divisors (57529480).

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

40642520 is a wasteful number, since it uses less digits than its factorization.

40642520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 40642520 is about 6375.1486257185. The cubic root of 40642520 is about 343.8166275258.

The spelling of 40642520 in words is "forty million, six hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 53 76 95 106 152 190 212 265 380 424 530 760 1007 1009 1060 2014 2018 2120 4028 4036 5035 5045 8056 8072 10070 10090 19171 20140 20180 38342 40280 40360 53477 76684 95855 106954 153368 191710 213908 267385 383420 427816 534770 766840 1016063 1069540 2032126 2139080 4064252 5080315 8128504 10160630 20321260 40642520