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42947808 = 2532353367
BaseRepresentation
bin1010001111010…
…1010011100000
32222210222022120
42203311103200
541443312213
64132304240
71031023161
oct243652340
988728276
1042947808
1122274362
1212472080
138b89507
1459bd768
153b85423
hex28f54e0

42947808 has 96 divisors (see below), whose sum is σ = 120185856. Its totient is φ = 13398528.

The previous prime is 42947777. The next prime is 42947813. The reversal of 42947808 is 80874924.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42947808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116841 + ... + 117207.

It is an arithmetic number, because the mean of its divisors is an integer number (1251936).

Almost surely, 242947808 is an apocalyptic number.

42947808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42947808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60092928).

42947808 is an abundant number, since it is smaller than the sum of its proper divisors (77238048).

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

42947808 is a wasteful number, since it uses less digits than its factorization.

42947808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 42947808 is about 6553.4577132991. The cubic root of 42947808 is about 350.1980049686.

The spelling of 42947808 in words is "forty-two million, nine hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 69 92 96 106 138 159 184 212 276 318 367 368 424 552 636 734 736 848 1101 1104 1219 1272 1468 1696 2202 2208 2438 2544 2936 3657 4404 4876 5088 5872 7314 8441 8808 9752 11744 14628 16882 17616 19451 19504 25323 29256 33764 35232 38902 39008 50646 58353 58512 67528 77804 101292 116706 117024 135056 155608 202584 233412 270112 311216 405168 447373 466824 622432 810336 894746 933648 1342119 1789492 1867296 2684238 3578984 5368476 7157968 10736952 14315936 21473904 42947808