Search a number
-
+
57947104 = 2529411523
BaseRepresentation
bin1101110100001…
…1001111100000
311001001000111001
43131003033200
5104313301404
65430001344
71302353665
oct335031740
9131030431
1057947104
112a789576
12174a6254
13c00b737
1479a5a6c
1551497a4
hex37433e0

57947104 has 48 divisors (see below), whose sum is σ = 120975120. Its totient is φ = 27274240.

The previous prime is 57947083. The next prime is 57947107. The reversal of 57947104 is 40174975.

57947104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57947107) 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 7 ways as a sum of consecutive naturals, for example, 37287 + ... + 38809.

It is an arithmetic number, because the mean of its divisors is an integer number (2520315).

Almost surely, 257947104 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 57947104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60487560).

57947104 is an abundant number, since it is smaller than the sum of its proper divisors (63028016).

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

57947104 is a wasteful number, since it uses less digits than its factorization.

57947104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 57947104 is about 7612.2995211697. The cubic root of 57947104 is about 386.9699536217.

The spelling of 57947104 in words is "fifty-seven million, nine hundred forty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 41 58 82 116 164 232 328 464 656 928 1189 1312 1523 2378 3046 4756 6092 9512 12184 19024 24368 38048 44167 48736 62443 88334 124886 176668 249772 353336 499544 706672 999088 1413344 1810847 1998176 3621694 7243388 14486776 28973552 57947104