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40515144 = 23319233863
BaseRepresentation
bin1001101010001…
…1011001001000
32211020101022220
42122203121020
540332441034
64004214040
71001241645
oct232433110
984211286
1040515144
112096269a
121169a320
138517177
145548dcc
153854749
hex26a3648

40515144 has 64 divisors (see below), whose sum is σ = 111283200. Its totient is φ = 12234816.

The previous prime is 40515119. The next prime is 40515149. The reversal of 40515144 is 44151504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40515149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8557 + ... + 12419.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 240515144 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 40515144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55641600).

40515144 is an abundant number, since it is smaller than the sum of its proper divisors (70768056).

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

40515144 is a wasteful number, since it uses less digits than its factorization.

40515144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 40515144 is about 6365.1507444836. The cubic root of 40515144 is about 343.4570712653.

Adding to 40515144 its reverse (44151504), we get a palindrome (84666648).

The spelling of 40515144 in words is "forty million, five hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1748 2622 3496 3863 5244 7726 10488 11589 15452 23178 30904 46356 73397 88849 92712 146794 177698 220191 266547 293588 355396 440382 533094 587176 710792 880764 1066188 1688131 1761528 2132376 3376262 5064393 6752524 10128786 13505048 20257572 40515144