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42933340 = 2252979937
BaseRepresentation
bin1010001111000…
…1110001011100
32222210020110201
42203301301130
541442331330
64132113244
71030633042
oct243616134
988706421
1042933340
11222644aa
1212465824
138b82a58
1459b8392
153b80eca
hex28f1c5c

42933340 has 48 divisors (see below), whose sum is σ = 94550400. Its totient is φ = 16353792.

The previous prime is 42933287. The next prime is 42933343. The reversal of 42933340 is 4333924.

42933340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42933299 and 42933308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42933343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45352 + ... + 46288.

It is an arithmetic number, because the mean of its divisors is an integer number (1969800).

Almost surely, 242933340 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 42933340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47275200).

42933340 is an abundant number, since it is smaller than the sum of its proper divisors (51617060).

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

42933340 is a wasteful number, since it uses less digits than its factorization.

42933340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 42933340 is about 6552.3537755527. The cubic root of 42933340 is about 350.1586763508.

The spelling of 42933340 in words is "forty-two million, nine hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 79 116 145 158 290 316 395 580 790 937 1580 1874 2291 3748 4582 4685 9164 9370 11455 18740 22910 27173 45820 54346 74023 108692 135865 148046 271730 296092 370115 543460 740230 1480460 2146667 4293334 8586668 10733335 21466670 42933340