Search a number
-
+
47368962 = 23653613
BaseRepresentation
bin1011010010110…
…0101100000010
310022010121000000
42310230230002
544111301322
64411140430
71113425634
oct264545402
9108117000
1047368962
1124814003
1213a44716
139a76994
146410a54
15425a3ac
hex2d2cb02

47368962 has 56 divisors (see below), whose sum is σ = 108718524. Its totient is φ = 15466464.

The previous prime is 47368931. The next prime is 47368969. The reversal of 47368962 is 26986374.

It can be written as a sum of positive squares in 2 ways, for example, as 44475561 + 2893401 = 6669^2 + 1701^2 .

It is not an unprimeable number, because it can be changed into a prime (47368969) 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 27 ways as a sum of consecutive naturals, for example, 76968 + ... + 77580.

Almost surely, 247368962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47368962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54359262).

47368962 is an abundant number, since it is smaller than the sum of its proper divisors (61349562).

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

47368962 is an equidigital number, since it uses as much as digits as its factorization.

47368962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 671 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 47368962 is about 6882.5113149199. The cubic root of 47368962 is about 361.8244878354.

The spelling of 47368962 in words is "forty-seven million, three hundred sixty-eight thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 477 486 613 729 954 1226 1431 1458 1839 2862 3678 4293 5517 8586 11034 12879 16551 25758 32489 33102 38637 49653 64978 77274 97467 99306 148959 194934 292401 297918 446877 584802 877203 893754 1754406 2631609 5263218 7894827 15789654 23684481 47368962