Search a number
-
+
57348 = 223559
BaseRepresentation
bin1110000000000100
32220200000
432000010
53313343
61121300
7326124
oct160004
986600
1057348
113a0a5
1229230
1320145
1416c84
1511ed3
hexe004

57348 has 36 divisors (see below), whose sum is σ = 152880. Its totient is φ = 18792.

The previous prime is 57347. The next prime is 57349. The reversal of 57348 is 84375.

It is an interprime number because it is at equal distance from previous prime (57347) and next prime (57349).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (57347) 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, 943 + ... + 1001.

257348 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 57348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440).

57348 is an abundant number, since it is smaller than the sum of its proper divisors (95532).

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

57348 is a wasteful number, since it uses less digits than its factorization.

57348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 64 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 57348 is about 239.4744245217. The cubic root of 57348 is about 38.5631728363.

Adding to 57348 its sum of digits (27), we get a palindrome (57375).

The spelling of 57348 in words is "fifty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 243 324 354 486 531 708 972 1062 1593 2124 3186 4779 6372 9558 14337 19116 28674 57348