Search a number
-
+
40892544 = 2732711461
BaseRepresentation
bin1001101111111…
…1100010000000
32211221120000200
42123333202000
540432030134
64020245200
71004403150
oct233774200
984846020
1040892544
11210a01a0
1211840800
138619b94
145606760
1538cb499
hex26ff880

40892544 has 192 divisors, whose sum is σ = 147026880. Its totient is φ = 10598400.

The previous prime is 40892543. The next prime is 40892557. The reversal of 40892544 is 44529804.

40892544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 40892499 and 40892508.

It is not an unprimeable number, because it can be changed into a prime (40892543) 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 23 ways as a sum of consecutive naturals, for example, 88474 + ... + 88934.

It is an arithmetic number, because the mean of its divisors is an integer number (765765).

Almost surely, 240892544 is an apocalyptic number.

40892544 is a gapful number since it is divisible by the number (44) 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 40892544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513440).

40892544 is an abundant number, since it is smaller than the sum of its proper divisors (106134336).

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

40892544 is a wasteful number, since it uses less digits than its factorization.

40892544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 40892544 is about 6394.7278284537. The cubic root of 40892544 is about 344.5202152496.

The spelling of 40892544 in words is "forty million, eight hundred ninety-two thousand, five hundred forty-four".