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40552608 = 2534110303
BaseRepresentation
bin1001101010110…
…0100010100000
32211022021201110
42122230202200
540340140413
64005103320
71001456115
oct232544240
984267643
1040552608
1120988858
12116b7b40
13852b235
14555890c
1538608c3
hex26ac8a0

40552608 has 48 divisors (see below), whose sum is σ = 109057536. Its totient is φ = 13186560.

The previous prime is 40552601. The next prime is 40552609. The reversal of 40552608 is 80625504.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (40552601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1216 + ... + 9087.

It is an arithmetic number, because the mean of its divisors is an integer number (2272032).

Almost surely, 240552608 is an apocalyptic number.

40552608 is a gapful number since it is divisible by the number (48) 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 40552608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54528768).

40552608 is an abundant number, since it is smaller than the sum of its proper divisors (68504928).

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

40552608 is a wasteful number, since it uses less digits than its factorization.

40552608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10357 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 40552608 is about 6368.0929641455. The cubic root of 40552608 is about 343.5629025701.

The spelling of 40552608 in words is "forty million, five hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 10303 20606 30909 41212 61818 82424 123636 164848 247272 329696 422423 494544 844846 989088 1267269 1689692 2534538 3379384 5069076 6758768 10138152 13517536 20276304 40552608