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40216032 = 2532311449
BaseRepresentation
bin1001100101101…
…0010111100000
32210200012000200
42121122113200
540243403112
63553545200
7665554623
oct231322740
983605020
1040216032
112077899a
1211575200
138440c8c
1454abdba
1537e5cdc
hex265a5e0

40216032 has 72 divisors (see below), whose sum is σ = 114987600. Its totient is φ = 13332480.

The previous prime is 40216031. The next prime is 40216037. The reversal of 40216032 is 23061204.

It is a happy number.

40216032 is a `hidden beast` number, since 40 + 21 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 40215996 and 40216014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40216031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89344 + ... + 89792.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 240216032 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 40216032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57493800).

40216032 is an abundant number, since it is smaller than the sum of its proper divisors (74771568).

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

40216032 is a wasteful number, since it uses less digits than its factorization.

40216032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40216032 is about 6341.6111517500. The cubic root of 40216032 is about 342.6097667959.

Adding to 40216032 its reverse (23061204), we get a palindrome (63277236).

The spelling of 40216032 in words is "forty million, two hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 311 449 622 898 933 1244 1347 1796 1866 2488 2694 2799 3592 3732 4041 4976 5388 5598 7184 7464 8082 9952 10776 11196 14368 14928 16164 21552 22392 29856 32328 43104 44784 64656 89568 129312 139639 279278 418917 558556 837834 1117112 1256751 1675668 2234224 2513502 3351336 4468448 5027004 6702672 10054008 13405344 20108016 40216032