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40942720 = 2757131937
BaseRepresentation
bin1001110000101…
…1110010000000
32212001002212001
42130023302000
540440131340
64021313344
71005002350
oct234136200
985032761
1040942720
1121124965
1211865854
138636980
14561ab60
1538db29a
hex270bc80

40942720 has 256 divisors, whose sum is σ = 130233600. Its totient is φ = 11943936.

The previous prime is 40942717. The next prime is 40942721. The reversal of 40942720 is 2724904.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (40942721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106542 + ... + 1106578.

It is an arithmetic number, because the mean of its divisors is an integer number (508725).

Almost surely, 240942720 is an apocalyptic number.

40942720 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 40942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65116800).

40942720 is an abundant number, since it is smaller than the sum of its proper divisors (89290880).

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

40942720 is a wasteful number, since it uses less digits than its factorization.

40942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 40942720 is about 6398.6498575871. The cubic root of 40942720 is about 344.6610688062.

The spelling of 40942720 in words is "forty million, nine hundred forty-two thousand, seven hundred twenty".