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47988936 = 2334103719
BaseRepresentation
bin1011011100010…
…0000011001000
310100022002110000
42313010003020
544241121221
64432323000
71121620302
oct267040310
9110262400
1047988936
11250a7886
12140a3460
139c32c28
146532972
15432de26
hex2dc40c8

47988936 has 80 divisors (see below), whose sum is σ = 135907200. Its totient is φ = 15818976.

The previous prime is 47988929. The next prime is 47988937. The reversal of 47988936 is 63988974.

47988936 is a `hidden beast` number, since 479 + 88 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47988937) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66385 + ... + 67103.

It is an arithmetic number, because the mean of its divisors is an integer number (1698840).

Almost surely, 247988936 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 47988936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67953600).

47988936 is an abundant number, since it is smaller than the sum of its proper divisors (87918264).

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

47988936 is a wasteful number, since it uses less digits than its factorization.

47988936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 827 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 47988936 is about 6927.4047088358. The cubic root of 47988936 is about 363.3961933343.

The spelling of 47988936 in words is "forty-seven million, nine hundred eighty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 309 324 412 618 648 719 824 927 1236 1438 1854 2157 2472 2781 2876 3708 4314 5562 5752 6471 7416 8343 8628 11124 12942 16686 17256 19413 22248 25884 33372 38826 51768 58239 66744 74057 77652 116478 148114 155304 222171 232956 296228 444342 465912 592456 666513 888684 1333026 1777368 1999539 2666052 3999078 5332104 5998617 7998156 11997234 15996312 23994468 47988936