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40561144 = 23132331547
BaseRepresentation
bin1001101010111…
…0100111111000
32211022201102121
42122232213320
540340424034
64005211024
71001523031
oct232564770
984281377
1040561144
1120994208
1211700a74
1385320a0
14555ba88
1538631b4
hex26ae9f8

40561144 has 64 divisors (see below), whose sum is σ = 88381440. Its totient is φ = 17297280.

The previous prime is 40561123. The next prime is 40561151. The reversal of 40561144 is 44116504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73879 + ... + 74425.

It is an arithmetic number, because the mean of its divisors is an integer number (1380960).

Almost surely, 240561144 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 40561144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44190720).

40561144 is an abundant number, since it is smaller than the sum of its proper divisors (47820296).

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

40561144 is a wasteful number, since it uses less digits than its factorization.

40561144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 40561144 is about 6368.7631452269. The cubic root of 40561144 is about 343.5870066277.

Adding to 40561144 its reverse (44116504), we get a palindrome (84677648).

The spelling of 40561144 in words is "forty million, five hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 23 26 31 46 52 62 92 104 124 184 248 299 403 547 598 713 806 1094 1196 1426 1612 2188 2392 2852 3224 4376 5704 7111 9269 12581 14222 16957 18538 25162 28444 33914 37076 50324 56888 67828 74152 100648 135656 163553 220441 327106 390011 440882 654212 780022 881764 1308424 1560044 1763528 3120088 5070143 10140286 20280572 40561144