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47481088 = 28312193
BaseRepresentation
bin1011010100100…
…0000100000000
310022100021210211
42311020010000
544123343323
64413403504
71114403554
oct265100400
9108307724
1047481088
1124890276
1213a99594
139ab5a25
14643d864
15427d70d
hex2d48100

47481088 has 54 divisors (see below), whose sum is σ = 98440062. Its totient is φ = 22855680.

The previous prime is 47481079. The next prime is 47481103. The reversal of 47481088 is 88018474.

It can be written as a sum of positive squares in only one way, i.e., 35426304 + 12054784 = 5952^2 + 3472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47481088.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 245920 + ... + 246112.

Almost surely, 247481088 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 47481088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49220031).

47481088 is an abundant number, since it is smaller than the sum of its proper divisors (50958974).

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

47481088 is an equidigital number, since it uses as much as digits as its factorization.

47481088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 47481088 is about 6890.6522187671. The cubic root of 47481088 is about 362.1097517305.

The spelling of 47481088 in words is "forty-seven million, four hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 193 248 256 386 496 772 961 992 1544 1922 1984 3088 3844 3968 5983 6176 7688 7936 11966 12352 15376 23932 24704 30752 47864 49408 61504 95728 123008 185473 191456 246016 370946 382912 741892 765824 1483784 1531648 2967568 5935136 11870272 23740544 47481088