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47988240 = 2435593389
BaseRepresentation
bin1011011100001…
…1111000010000
310100022001111020
42313003320100
544241110430
64432315440
71121615256
oct267037020
9110261436
1047988240
11250a7303
12140a2b80
139c32811
1465325d6
15432db10
hex2dc3e10

47988240 has 80 divisors (see below), whose sum is σ = 151329600. Its totient is φ = 12576256.

The previous prime is 47988209. The next prime is 47988247. The reversal of 47988240 is 4288974.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 47988192 and 47988201.

It is not an unprimeable number, because it can be changed into a prime (47988247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12466 + ... + 15854.

It is an arithmetic number, because the mean of its divisors is an integer number (1891620).

Almost surely, 247988240 is an apocalyptic number.

47988240 is a gapful number since it is divisible by the number (40) 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 47988240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75664800).

47988240 is an abundant number, since it is smaller than the sum of its proper divisors (103341360).

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

47988240 is a wasteful number, since it uses less digits than its factorization.

47988240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3458 counting only the distinct ones).

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

The square root of 47988240 is about 6927.3544733903. The cubic root of 47988240 is about 363.3944365059.

The spelling of 47988240 in words is "forty-seven million, nine hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3389 3540 4720 6778 7080 10167 13556 14160 16945 20334 27112 33890 40668 50835 54224 67780 81336 101670 135560 162672 199951 203340 271120 399902 406680 599853 799804 813360 999755 1199706 1599608 1999510 2399412 2999265 3199216 3999020 4798824 5998530 7998040 9597648 11997060 15996080 23994120 47988240