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47988416 = 267176301
BaseRepresentation
bin1011011100001…
…1111011000000
310100022001201202
42313003323000
544241112131
64432320332
71121615630
oct267037300
9110261652
1047988416
11250a7453
12140a30a8
139c32918
1465326c0
15432dbcb
hex2dc3ec0

47988416 has 56 divisors (see below), whose sum is σ = 115250976. Its totient is φ = 19353600.

The previous prime is 47988389. The next prime is 47988427. The reversal of 47988416 is 61488974.

47988416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4466 + ... + 10766.

Almost surely, 247988416 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 47988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57625488).

47988416 is an abundant number, since it is smaller than the sum of its proper divisors (67262560).

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

47988416 is a wasteful number, since it uses less digits than its factorization.

47988416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337 (or 6327 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The square root of 47988416 is about 6927.3671766408. The cubic root of 47988416 is about 363.3948807630.

The spelling of 47988416 in words is "forty-seven million, nine hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 6301 7616 12602 25204 44107 50408 88214 100816 107117 176428 201632 214234 352856 403264 428468 705712 749819 856936 1411424 1499638 1713872 2822848 2999276 3427744 5998552 6855488 11997104 23994208 47988416