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47684583424 = 2168532
BaseRepresentation
bin101100011010001110…
…010000000000000000
311120002012221211012101
4230122032100000000
51240124223132144
633523410040144
73305445162052
oct543216200000
9146065854171
1047684583424
111924a782335
1292a9579054
13465c15a74a
14244500b8d2
15139147a6d4
hexb1a390000

47684583424 has 51 divisors (see below), whose sum is σ = 95480373873. Its totient is φ = 23814340608.

The previous prime is 47684583361. The next prime is 47684583433. The reversal of 47684583424 is 42438548674.

The square root of 47684583424 is 218368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2754150400 + 44930433024 = 52480^2 + 211968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 55901782 + ... + 55902634.

Almost surely, 247684583424 is an apocalyptic number.

47684583424 is the 218368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47684583424

47684583424 is an abundant number, since it is smaller than the sum of its proper divisors (47795790449).

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

47684583424 is an frugal number, since it uses more digits than its factorization.

47684583424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 855 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 55.

The spelling of 47684583424 in words is "forty-seven billion, six hundred eighty-four million, five hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 853 1024 1706 2048 3412 4096 6824 8192 13648 16384 27296 32768 54592 65536 109184 218368 436736 727609 873472 1455218 1746944 2910436 3493888 5820872 6987776 11641744 13975552 23283488 27951104 46566976 55902208 93133952 186267904 372535808 745071616 1490143232 2980286464 5960572928 11921145856 23842291712 47684583424