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40113216 = 26321113487
BaseRepresentation
bin1001100100000…
…1010001000000
32210110221222200
42121001101000
540232110331
63551433200
7664646103
oct231012100
983427880
1040113216
1120708720
1211525800
138406240
14548273a
1537c55e6
hex2641440

40113216 has 168 divisors, whose sum is σ = 135355584. Its totient is φ = 11197440.

The previous prime is 40113197. The next prime is 40113221. The reversal of 40113216 is 61231104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82125 + ... + 82611.

It is an arithmetic number, because the mean of its divisors is an integer number (805688).

Almost surely, 240113216 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 40113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67677792).

40113216 is an abundant number, since it is smaller than the sum of its proper divisors (95242368).

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

40113216 is a wasteful number, since it uses less digits than its factorization.

40113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40113216 is about 6333.4995065919. The cubic root of 40113216 is about 342.3175464545.

It can be divided in two parts, 4011 and 3216, that added together give a palindrome (7227).

The spelling of 40113216 in words is "forty million, one hundred thirteen thousand, two hundred sixteen".