Search a number
-
+
47506240 = 265148457
BaseRepresentation
bin1011010100111…
…0001101000000
310022101120022101
42311032031000
544130144430
64414120144
71114540105
oct265161500
9108346271
1047506240
11248a8161
1213ab0054
139ac4302
146448aac
154285dca
hex2d4e340

47506240 has 28 divisors (see below), whose sum is σ = 113124996. Its totient is φ = 19002368.

The previous prime is 47506231. The next prime is 47506241. The reversal of 47506240 is 4260574.

It can be written as a sum of positive squares in 2 ways, for example, as 26050816 + 21455424 = 5104^2 + 4632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47506199 and 47506208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47506241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73909 + ... + 74548.

Almost surely, 247506240 is an apocalyptic number.

47506240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47506240 is an abundant number, since it is smaller than the sum of its proper divisors (65618756).

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

47506240 is a wasteful number, since it uses less digits than its factorization.

47506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148474 (or 148464 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 47506240 is about 6892.4770583586. The cubic root of 47506240 is about 362.1736801781.

The spelling of 47506240 in words is "forty-seven million, five hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 148457 296914 593828 742285 1187656 1484570 2375312 2969140 4750624 5938280 9501248 11876560 23753120 47506240