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42035056 = 247894217
BaseRepresentation
bin1010000001011…
…0011101110000
32221002121020221
42200112131300
541230110211
64100542424
71020202120
oct240263560
987077227
1042035056
1121800618
12120b1a14
138929c1b
145822c80
153a54c71
hex2816770

42035056 has 40 divisors (see below), whose sum is σ = 94145760. Its totient is φ = 17808384.

The previous prime is 42035029. The next prime is 42035083. The reversal of 42035056 is 65053024.

It is an interprime number because it is at equal distance from previous prime (42035029) and next prime (42035083).

It is a self number, because there is not a number n which added to its sum of digits gives 42035056.

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 7 ways as a sum of consecutive naturals, for example, 7860 + ... + 12076.

It is an arithmetic number, because the mean of its divisors is an integer number (2353644).

Almost surely, 242035056 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 42035056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47072880).

42035056 is an abundant number, since it is smaller than the sum of its proper divisors (52110704).

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

42035056 is a wasteful number, since it uses less digits than its factorization.

42035056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 42035056 is about 6483.4447633955. Note that the first 3 decimals coincide. The cubic root of 42035056 is about 347.6993483798.

The spelling of 42035056 in words is "forty-two million, thirty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 89 112 178 356 623 712 1246 1424 2492 4217 4984 8434 9968 16868 29519 33736 59038 67472 118076 236152 375313 472304 750626 1501252 2627191 3002504 5254382 6005008 10508764 21017528 42035056