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40553316 = 22329771153
BaseRepresentation
bin1001101010110…
…0101101100100
32211022022200200
42122230231210
540340201231
64005110500
71001461146
oct232545544
984268620
1040553316
1120989341
12116b8430
13852b65b
145558c96
153860be6
hex26acb64

40553316 has 36 divisors (see below), whose sum is σ = 102703692. Its totient is φ = 13492224.

The previous prime is 40553309. The next prime is 40553329. The reversal of 40553316 is 61335504.

40553316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35354916 + 5198400 = 5946^2 + 2280^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40553316.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34596 + ... + 35748.

Almost surely, 240553316 is an apocalyptic number.

It is an amenable number.

40553316 is an abundant number, since it is smaller than the sum of its proper divisors (62150376).

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

40553316 is a wasteful number, since it uses less digits than its factorization.

40553316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 40553316 is about 6368.1485535436. The cubic root of 40553316 is about 343.5649019575.

The spelling of 40553316 in words is "forty million, five hundred fifty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 977 1153 1954 2306 2931 3459 3908 4612 5862 6918 8793 10377 11724 13836 17586 20754 35172 41508 1126481 2252962 3379443 4505924 6758886 10138329 13517772 20276658 40553316