Search a number
-
+
58428 = 2233541
BaseRepresentation
bin1110010000111100
32222011000
432100330
53332203
61130300
7332226
oct162074
988130
1058428
113a997
1229990
1320796
1417416
15124a3
hexe43c

58428 has 24 divisors (see below), whose sum is σ = 151760. Its totient is φ = 19440.

The previous prime is 58427. The next prime is 58439. The reversal of 58428 is 82485.

58428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58427) 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, 163 + ... + 378.

258428 is an apocalyptic number.

It is an amenable number.

58428 is an abundant number, since it is smaller than the sum of its proper divisors (93332).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75880).

58428 is a wasteful number, since it uses less digits than its factorization.

58428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 58428 is about 241.7188449418. The cubic root of 58428 is about 38.8037478223.

The spelling of 58428 in words is "fifty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 541 1082 1623 2164 3246 4869 6492 9738 14607 19476 29214 58428