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42506484 = 22323337457
BaseRepresentation
bin1010001000100…
…1100011110100
32221222112221020
42202021203310
541340201414
64115021140
71024204416
oct242114364
987875836
1042506484
1121aa2829
121229a7b0
138a63687
1459069b6
153ae97a9
hex28898f4

42506484 has 48 divisors (see below), whose sum is σ = 104028288. Its totient is φ = 13483008.

The previous prime is 42506479. The next prime is 42506501. The reversal of 42506484 is 48460524.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 92784 + ... + 93240.

It is an arithmetic number, because the mean of its divisors is an integer number (2167256).

Almost surely, 242506484 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 42506484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52014144).

42506484 is an abundant number, since it is smaller than the sum of its proper divisors (61521804).

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

42506484 is a wasteful number, since it uses less digits than its factorization.

42506484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 42506484 is about 6519.6996863353. The cubic root of 42506484 is about 348.9943486139.

The spelling of 42506484 in words is "forty-two million, five hundred six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 337 457 674 914 1011 1348 1371 1828 2022 2742 4044 5484 7751 10511 15502 21022 23253 31004 31533 42044 46506 63066 93012 126132 154009 308018 462027 616036 924054 1848108 3542207 7084414 10626621 14168828 21253242 42506484