[go: up one dir, main page]

Search a number
-
+
40888320 = 21135113
BaseRepresentation
bin1001101111111…
…0100000000000
32211221100020020
42123332200000
540431411240
64020213440
71004354634
oct233764000
984840206
1040888320
1121098000
121183a280
138617c95
145604dc4
1538ca0d0
hex26fe800

40888320 has 192 divisors, whose sum is σ = 143881920. Its totient is φ = 9912320.

The previous prime is 40888307. The next prime is 40888363. The reversal of 40888320 is 2388804.

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 (33).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 440 × 264 × 352.

It is a congruent number.

It is an unprimeable number.

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, 3717115 + ... + 3717125.

It is an arithmetic number, because the mean of its divisors is an integer number (749385).

Almost surely, 240888320 is an apocalyptic number.

40888320 is a gapful number since it is divisible by the number (40) 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 40888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71940960).

40888320 is an abundant number, since it is smaller than the sum of its proper divisors (102993600).

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

40888320 is an equidigital number, since it uses as much as digits as its factorization.

40888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 40888320 is about 6394.3975478539. The cubic root of 40888320 is about 344.5083524229.

The spelling of 40888320 in words is "forty million, eight hundred eighty-eight thousand, three hundred twenty".