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47349940 = 225111371571
BaseRepresentation
bin1011010010100…
…0000010110100
310022002121220111
42310220002310
544110144230
64410512404
71113316321
oct264500264
9108077814
1047349940
1124800790
1213a35704
139a6b121
146407b48
15425492a
hex2d280b4

47349940 has 48 divisors (see below), whose sum is σ = 109335744. Its totient is φ = 17081600.

The previous prime is 47349931. The next prime is 47349979. The reversal of 47349940 is 4994374.

It is a junction number, because it is equal to n+sod(n) for n = 47349893 and 47349902.

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, 29355 + ... + 30925.

It is an arithmetic number, because the mean of its divisors is an integer number (2277828).

Almost surely, 247349940 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 47349940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54667872).

47349940 is an abundant number, since it is smaller than the sum of its proper divisors (61985804).

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

47349940 is a wasteful number, since it uses less digits than its factorization.

47349940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 47349940 is about 6881.1292677874. The cubic root of 47349940 is about 361.7760486141.

The spelling of 47349940 in words is "forty-seven million, three hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 220 274 548 685 1370 1507 1571 2740 3014 3142 6028 6284 7535 7855 15070 15710 17281 30140 31420 34562 69124 86405 172810 215227 345620 430454 860908 1076135 2152270 2367497 4304540 4734994 9469988 11837485 23674970 47349940