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40325616 = 2432972887
BaseRepresentation
bin1001100111010…
…1000111110000
32210212202100100
42121311013300
540310404431
64000152400
7666522252
oct231650760
983782310
1040325616
1120843261
1211608700
13847bb16
1454d9cd2
1538184e6
hex26751f0

40325616 has 60 divisors (see below), whose sum is σ = 114058672. Its totient is φ = 13298688.

The previous prime is 40325611. The next prime is 40325651. The reversal of 40325616 is 61652304.

40325616 is a `hidden beast` number, since 40 + 3 + 2 + 5 + 616 = 666.

40325616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40325616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40325611) 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, 12525 + ... + 15411.

Almost surely, 240325616 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 40325616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57029336).

40325616 is an abundant number, since it is smaller than the sum of its proper divisors (73733056).

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

40325616 is a wasteful number, since it uses less digits than its factorization.

40325616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40325616 is about 6350.2453495908. The cubic root of 40325616 is about 342.9206751313.

The spelling of 40325616 in words is "forty million, three hundred twenty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 2887 3492 4656 5774 6984 8661 11548 13968 17322 23096 25983 34644 46192 51966 69288 103932 138576 207864 280039 415728 560078 840117 1120156 1680234 2240312 2520351 3360468 4480624 5040702 6720936 10081404 13441872 20162808 40325616