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47831328 = 2532166081
BaseRepresentation
bin1011011001110…
…1100100100000
310100000002020200
42312131210200
544221100303
64425105200
71120362636
oct266354440
9110002220
1047831328
1124aaa426
1214028200
139ba927c
1464d1356
1542ec3a3
hex2d9d920

47831328 has 36 divisors (see below), whose sum is σ = 136021158. Its totient is φ = 15943680.

The previous prime is 47831327. The next prime is 47831347. The reversal of 47831328 is 82313874.

It can be written as a sum of positive squares in only one way, i.e., 43718544 + 4112784 = 6612^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47831292 and 47831301.

It is not an unprimeable number, because it can be changed into a prime (47831327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82753 + ... + 83328.

Almost surely, 247831328 is an apocalyptic number.

47831328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47831328 is an abundant number, since it is smaller than the sum of its proper divisors (88189830).

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

47831328 is a wasteful number, since it uses less digits than its factorization.

47831328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166097 (or 166086 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 47831328 is about 6916.0196645180. The cubic root of 47831328 is about 362.9979281807.

The spelling of 47831328 in words is "forty-seven million, eight hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 166081 332162 498243 664324 996486 1328648 1494729 1992972 2657296 2989458 3985944 5314592 5978916 7971888 11957832 15943776 23915664 47831328