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40557088 = 2511138863
BaseRepresentation
bin1001101010110…
…1101000100000
32211022111212101
42122231220200
540340311323
64005140144
71001505145
oct232555040
984274771
1040557088
1120991160
12116ba654
1385302a0
14555a3cc
153861dad
hex26ada20

40557088 has 48 divisors (see below), whose sum is σ = 93816576. Its totient is φ = 17015040.

The previous prime is 40557071. The next prime is 40557089. The reversal of 40557088 is 88075504.

It is not an unprimeable number, because it can be changed into a prime (40557089) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 145 + ... + 9007.

It is an arithmetic number, because the mean of its divisors is an integer number (1954512).

Almost surely, 240557088 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 40557088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46908288).

40557088 is an abundant number, since it is smaller than the sum of its proper divisors (53259488).

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

40557088 is a wasteful number, since it uses less digits than its factorization.

40557088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8897 (or 8889 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 40557088 is about 6368.4447080900. Note that the first 3 decimals coincide. The cubic root of 40557088 is about 343.5755536687.

The spelling of 40557088 in words is "forty million, five hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 8863 17726 35452 70904 97493 115219 141808 194986 230438 283616 389972 460876 779944 921752 1267409 1559888 1843504 2534818 3119776 3687008 5069636 10139272 20278544 40557088