Search a number
-
+
47471136 = 2532392069
BaseRepresentation
bin1011010100010…
…1101000100000
310022022210011020
42311011220200
544123034021
64413245440
71114332546
oct265055040
9108283136
1047471136
1124883849
1213a93880
139ab133b
146439d96
15427a7c6
hex2d45a20

47471136 has 48 divisors (see below), whose sum is σ = 125193600. Its totient is φ = 15749888.

The previous prime is 47471131. The next prime is 47471147. The reversal of 47471136 is 63117474.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 47471097 and 47471106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47471131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21910 + ... + 23978.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 247471136 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 47471136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62596800).

47471136 is an abundant number, since it is smaller than the sum of its proper divisors (77722464).

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

47471136 is a wasteful number, since it uses less digits than its factorization.

47471136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2313 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 47471136 is about 6889.9300431862. The cubic root of 47471136 is about 362.0844506531.

The spelling of 47471136 in words is "forty-seven million, four hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2069 2868 3824 4138 5736 6207 7648 8276 11472 12414 16552 22944 24828 33104 49656 66208 99312 198624 494491 988982 1483473 1977964 2966946 3955928 5933892 7911856 11867784 15823712 23735568 47471136