[go: up one dir, main page]

Search a number
-
+
40889472 = 273138191
BaseRepresentation
bin1001101111111…
…0110010000000
32211221101210220
42123332302000
540431430342
64020223040
71004361201
oct233766200
984841726
1040889472
1121098958
121183aa80
138618670
1456055a8
1538ca5ec
hex26fec80

40889472 has 64 divisors (see below), whose sum is σ = 116981760. Its totient is φ = 12579840.

The previous prime is 40889467. The next prime is 40889473. The reversal of 40889472 is 27498804.

40889472 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 (64).

It is not an unprimeable number, because it can be changed into a prime (40889473) 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 7 ways as a sum of consecutive naturals, for example, 897 + ... + 9087.

It is an arithmetic number, because the mean of its divisors is an integer number (1827840).

Almost surely, 240889472 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 40889472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58490880).

40889472 is an abundant number, since it is smaller than the sum of its proper divisors (76092288).

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

40889472 is a wasteful number, since it uses less digits than its factorization.

40889472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 40889472 is about 6394.4876260729. The cubic root of 40889472 is about 344.5115878203.

The spelling of 40889472 in words is "forty million, eight hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 8191 16382 24573 32764 49146 65528 98292 106483 131056 196584 212966 262112 319449 393168 425932 524224 638898 786336 851864 1048448 1277796 1572672 1703728 2555592 3145344 3407456 5111184 6814912 10222368 13629824 20444736 40889472