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40552416 = 25321391013
BaseRepresentation
bin1001101010110…
…0011111100000
32211022021110100
42122230133200
540340134131
64005102400
71001455422
oct232543740
984267410
1040552416
11209886a3
12116b7a00
13852b118
145558812
1538607e6
hex26ac7e0

40552416 has 72 divisors (see below), whose sum is σ = 116265240. Its totient is φ = 13406976.

The previous prime is 40552357. The next prime is 40552417. The reversal of 40552416 is 61425504.

40552416 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 (72).

It is a self number, because there is not a number n which added to its sum of digits gives 40552416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40552417) 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 11 ways as a sum of consecutive naturals, for example, 39526 + ... + 40538.

It is an arithmetic number, because the mean of its divisors is an integer number (1614795).

Almost surely, 240552416 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 40552416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58132620).

40552416 is an abundant number, since it is smaller than the sum of its proper divisors (75712824).

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

40552416 is a wasteful number, since it uses less digits than its factorization.

40552416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 40552416 is about 6368.0778889709. The cubic root of 40552416 is about 343.5623603594.

The spelling of 40552416 in words is "forty million, five hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1013 1112 1251 1668 2026 2224 2502 3039 3336 4052 4448 5004 6078 6672 8104 9117 10008 12156 13344 16208 18234 20016 24312 32416 36468 40032 48624 72936 97248 140807 145872 281614 291744 422421 563228 844842 1126456 1267263 1689684 2252912 2534526 3379368 4505824 5069052 6758736 10138104 13517472 20276208 40552416