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40653132 = 22313347751
BaseRepresentation
bin1001101100010…
…1000101001100
32211111101121120
42123011011030
540401400012
64011200540
71002355152
oct233050514
984441546
1040653132
1120a47333
1211746150
138564c10
1455833d2
15388058c
hex26c514c

40653132 has 48 divisors (see below), whose sum is σ = 102584832. Its totient is φ = 12456000.

The previous prime is 40653131. The next prime is 40653139. The reversal of 40653132 is 23135604.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40653131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53757 + ... + 54507.

It is an arithmetic number, because the mean of its divisors is an integer number (2137184).

Almost surely, 240653132 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 40653132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51292416).

40653132 is an abundant number, since it is smaller than the sum of its proper divisors (61931700).

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

40653132 is a wasteful number, since it uses less digits than its factorization.

40653132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 40653132 is about 6375.9808657178. The cubic root of 40653132 is about 343.8465491001.

Adding to 40653132 its reverse (23135604), we get a palindrome (63788736).

The spelling of 40653132 in words is "forty million, six hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 347 694 751 1041 1388 1502 2082 2253 3004 4164 4506 4511 9012 9022 9763 13533 18044 19526 27066 29289 39052 54132 58578 117156 260597 521194 781791 1042388 1563582 3127164 3387761 6775522 10163283 13551044 20326566 40653132