[go: up one dir, main page]

Search a number
-
+
47305944 = 2334710429
BaseRepresentation
bin1011010001110…
…1010011011000
310022000101120000
42310131103120
544102242234
64405533000
71113044130
oct264352330
9108011500
1047305944
1124780724
1213a14160
139a540aa
1463d5ac0
154246899
hex2d1d4d8

47305944 has 80 divisors (see below), whose sum is σ = 151443600. Its totient is φ = 13514688.

The previous prime is 47305939. The next prime is 47305949. The reversal of 47305944 is 44950374.

47305944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47305939) and next prime (47305949).

It is a super-2 number, since 2×473059442 = 4475704675462272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47305899 and 47305908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47305949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 679 + ... + 9750.

It is an arithmetic number, because the mean of its divisors is an integer number (1893045).

Almost surely, 247305944 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 47305944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75721800).

47305944 is an abundant number, since it is smaller than the sum of its proper divisors (104137656).

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

47305944 is a wasteful number, since it uses less digits than its factorization.

47305944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10454 (or 10441 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 47305944 is about 6877.9316658426. The cubic root of 47305944 is about 361.6639637741.

The spelling of 47305944 in words is "forty-seven million, three hundred five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 10429 20858 31287 41716 62574 73003 83432 93861 125148 146006 187722 219009 250296 281583 292012 375444 438018 563166 584024 657027 750888 844749 876036 1126332 1314054 1689498 1752072 1971081 2252664 2628108 3378996 3942162 5256216 5913243 6757992 7884324 11826486 15768648 23652972 47305944