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42397740 = 2232572111923
BaseRepresentation
bin1010000110111…
…1000000101100
32221210000202200
42201233000230
541323211430
64112421500
71023242400
oct241570054
987700680
1042397740
1121a29060
1212247890
138a26028
1458b9100
153ac7460
hex286f02c

42397740 has 432 divisors, whose sum is σ = 179262720. Its totient is φ = 7983360.

The previous prime is 42397669. The next prime is 42397769. The reversal of 42397740 is 4779324.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42397695 and 42397704.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1843369 + ... + 1843391.

It is an arithmetic number, because the mean of its divisors is an integer number (414960).

Almost surely, 242397740 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 42397740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

42397740 is an abundant number, since it is smaller than the sum of its proper divisors (136864980).

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

42397740 is a wasteful number, since it uses less digits than its factorization.

42397740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 42397740 is about 6511.3546977568. The cubic root of 42397740 is about 348.6964846393.

The spelling of 42397740 in words is "forty-two million, three hundred ninety-seven thousand, seven hundred forty".