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40383468 = 22331991879
BaseRepresentation
bin1001101000001…
…1001111101100
32210222200201000
42122003033230
540314232333
64001320300
71000153026
oct232031754
983880630
1040383468
1120882774
1211636090
13849c258
145513016
15382a713
hex26833ec

40383468 has 48 divisors (see below), whose sum is σ = 105280000. Its totient is φ = 13386384.

The previous prime is 40383467. The next prime is 40383487. The reversal of 40383468 is 86438304.

40383468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40383461) 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, 20553 + ... + 22431.

Almost surely, 240383468 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 40383468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52640000).

40383468 is an abundant number, since it is smaller than the sum of its proper divisors (64896532).

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

40383468 is a wasteful number, since it uses less digits than its factorization.

40383468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 40383468 is about 6354.7988166424. The cubic root of 40383468 is about 343.0845839106.

The spelling of 40383468 in words is "forty million, three hundred eighty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 199 398 597 796 1194 1791 1879 2388 3582 3758 5373 5637 7164 7516 10746 11274 16911 21492 22548 33822 50733 67644 101466 202932 373921 747842 1121763 1495684 2243526 3365289 4487052 6730578 10095867 13461156 20191734 40383468