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47261268 = 22321312813
BaseRepresentation
bin1011010001001…
…0011001010100
310021221010021100
42310102121110
544044330033
64404550100
71112466645
oct264223124
9107833240
1047261268
11247500aa
12139b2330
139a39962
1463c36cc
154238513
hex2d12654

47261268 has 18 divisors (see below), whose sum is σ = 119466074. Its totient is φ = 15753744.

The previous prime is 47261243. The next prime is 47261287. The reversal of 47261268 is 86216274.

It can be written as a sum of positive squares in only one way, i.e., 46949904 + 311364 = 6852^2 + 558^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1312813 = 47261268 / (4 + 7 + 2 + 6 + 1 + 2 + 6 + 8).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 656371 + ... + 656442.

Almost surely, 247261268 is an apocalyptic number.

It is an amenable number.

47261268 is an abundant number, since it is smaller than the sum of its proper divisors (72204806).

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

47261268 is a wasteful number, since it uses less digits than its factorization.

47261268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312823 (or 1312818 counting only the distinct ones).

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

The square root of 47261268 is about 6874.6831199700. The cubic root of 47261268 is about 361.5500754194.

The spelling of 47261268 in words is "forty-seven million, two hundred sixty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1312813 2625626 3938439 5251252 7876878 11815317 15753756 23630634 47261268