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40842432 = 2632174397
BaseRepresentation
bin1001101111001…
…1010011000000
32211212000021200
42123303103000
540423424212
64015221200
71004104101
oct233632300
984760250
1040842432
1121066584
1211817800
138600127
1455d23a8
1538bb6dc
hex26f34c0

40842432 has 168 divisors, whose sum is σ = 128144016. Its totient is φ = 12386304.

The previous prime is 40842427. The next prime is 40842433. The reversal of 40842432 is 23424804.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40842396 and 40842405.

It is not an unprimeable number, because it can be changed into a prime (40842433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421008 + ... + 421104.

It is an arithmetic number, because the mean of its divisors is an integer number (762762).

Almost surely, 240842432 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 40842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64072008).

40842432 is an abundant number, since it is smaller than the sum of its proper divisors (87301584).

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

40842432 is a wasteful number, since it uses less digits than its factorization.

40842432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 40842432 is about 6390.8083995689. The cubic root of 40842432 is about 344.3794263064.

The spelling of 40842432 in words is "forty million, eight hundred forty-two thousand, four hundred thirty-two".