Search a number
-
+
47435969 = 727011381
BaseRepresentation
bin1011010011110…
…1000011000001
310022020222220202
42310331003001
544120422334
64412414545
71114125200
oct264750301
9108228822
1047435969
112485a389
1213a77455
139a9b329
14642b237
15427017e
hex2d3d0c1

47435969 has 12 divisors (see below), whose sum is σ = 55299348. Its totient is φ = 40572000.

The previous prime is 47435957. The next prime is 47435977. The reversal of 47435969 is 96953474.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32069569 + 15366400 = 5663^2 + 3920^2 .

It is not a de Polignac number, because 47435969 - 224 = 30658753 is a prime.

It is a super-2 number, since 2×474359692 = 4500342309937922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47437969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33659 + ... + 35039.

It is an arithmetic number, because the mean of its divisors is an integer number (4608279).

Almost surely, 247435969 is an apocalyptic number.

47435969 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

47435969 is a deficient number, since it is larger than the sum of its proper divisors (7863379).

47435969 is a wasteful number, since it uses less digits than its factorization.

47435969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2089 counting only the distinct ones).

The product of its digits is 816480, while the sum is 47.

The square root of 47435969 is about 6887.3775125225. The cubic root of 47435969 is about 361.9950168723.

The spelling of 47435969 in words is "forty-seven million, four hundred thirty-five thousand, nine hundred sixty-nine".

Divisors: 1 7 49 701 1381 4907 9667 34349 67669 968081 6776567 47435969