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42740532 = 223223411259
BaseRepresentation
bin1010001100001…
…0101100110100
32222102102222200
42203002230310
541420144112
64124024500
71026200652
oct243025464
988372880
1042740532
112214265a
1212392130
138b16073
145967dd2
153b43cdc
hex28c2b34

42740532 has 72 divisors (see below), whose sum is σ = 115577280. Its totient is φ = 13284480.

The previous prime is 42740527. The next prime is 42740539. The reversal of 42740532 is 23504724.

It is a junction number, because it is equal to n+sod(n) for n = 42740496 and 42740505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42740539) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33319 + ... + 34577.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 242740532 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 42740532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57788640).

42740532 is an abundant number, since it is smaller than the sum of its proper divisors (72836748).

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

42740532 is a wasteful number, since it uses less digits than its factorization.

42740532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 42740532 is about 6537.6243391617. The cubic root of 42740532 is about 349.6337174915.

The spelling of 42740532 in words is "forty-two million, seven hundred forty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 492 738 828 943 1259 1476 1886 2518 2829 3772 3777 5036 5658 7554 8487 11316 11331 15108 16974 22662 28957 33948 45324 51619 57914 86871 103238 115828 154857 173742 206476 260613 309714 347484 464571 521226 619428 929142 1042452 1187237 1858284 2374474 3561711 4748948 7123422 10685133 14246844 21370266 42740532