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40463280 = 243351113131
BaseRepresentation
bin1001101001011…
…0101110110000
32211010202012000
42122112232300
540324311110
64003134000
71000634514
oct232265660
984122160
1040463280
1120927730
1211674300
1384c9690
145534144
1538441c0
hex2696bb0

40463280 has 320 divisors, whose sum is σ = 164989440. Its totient is φ = 8985600.

The previous prime is 40463273. The next prime is 40463303. The reversal of 40463280 is 8236404.

40463280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 308815 + ... + 308945.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 240463280 is an apocalyptic number.

40463280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40463280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

40463280 is an abundant number, since it is smaller than the sum of its proper divisors (124526160).

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

40463280 is a wasteful number, since it uses less digits than its factorization.

40463280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40463280 is about 6361.0753807827. The cubic root of 40463280 is about 343.3104539587.

Adding to 40463280 its reverse (8236404), we get a palindrome (48699684).

The spelling of 40463280 in words is "forty million, four hundred sixty-three thousand, two hundred eighty".