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40605852 = 22371573079
BaseRepresentation
bin1001101011100…
…1100010011100
32211101222202110
42122321202130
540343341402
64010154020
71002100260
oct232714234
984358673
1040605852
1120a14861
1211722910
138549541
1455700a0
15387156c
hex26b989c

40605852 has 48 divisors (see below), whose sum is σ = 109007360. Its totient is φ = 11524032.

The previous prime is 40605811. The next prime is 40605853. The reversal of 40605852 is 25850604.

40605852 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 not an unprimeable number, because it can be changed into a prime (40605853) by changing a digit.

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, 11649 + ... + 14727.

Almost surely, 240605852 is an apocalyptic number.

40605852 is a gapful number since it is divisible by the number (42) 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 40605852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54503680).

40605852 is an abundant number, since it is smaller than the sum of its proper divisors (68401508).

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

40605852 is a wasteful number, since it uses less digits than its factorization.

40605852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 40605852 is about 6372.2721222496. The cubic root of 40605852 is about 343.7131983963.

The spelling of 40605852 in words is "forty million, six hundred five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 314 471 628 942 1099 1884 2198 3079 3297 4396 6158 6594 9237 12316 13188 18474 21553 36948 43106 64659 86212 129318 258636 483403 966806 1450209 1933612 2900418 3383821 5800836 6767642 10151463 13535284 20302926 40605852