Search a number
-
+
58454028 = 22334143307
BaseRepresentation
bin1101111011111…
…1000000001100
311001222202212000
43132333000030
5104431012103
65444512300
71306564623
oct336770014
9131882760
1058454028
112aaa5416
12176ab690
13c1583a9
147a986ba
1551e9aa3
hex37bf00c

58454028 has 96 divisors (see below), whose sum is σ = 159371520. Its totient is φ = 18506880.

The previous prime is 58454023. The next prime is 58454029. The reversal of 58454028 is 82045485.

58454028 is a `hidden beast` number, since 584 + 54 + 0 + 28 = 666.

It is a super-3 number, since 3×584540283 (a number of 24 digits) contains 333 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 = 58453983 and 58454001.

It is not an unprimeable number, because it can be changed into a prime (58454021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190251 + ... + 190557.

It is an arithmetic number, because the mean of its divisors is an integer number (1660120).

Almost surely, 258454028 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 58454028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79685760).

58454028 is an abundant number, since it is smaller than the sum of its proper divisors (100917492).

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

58454028 is a wasteful number, since it uses less digits than its factorization.

58454028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 58454028 is about 7645.5233960796. The cubic root of 58454028 is about 388.0950895292.

The spelling of 58454028 in words is "fifty-eight million, four hundred fifty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 43 54 82 86 108 123 129 164 172 246 258 307 369 387 492 516 614 738 774 921 1107 1161 1228 1476 1548 1763 1842 2214 2322 2763 3526 3684 4428 4644 5289 5526 7052 8289 10578 11052 12587 13201 15867 16578 21156 25174 26402 31734 33156 37761 39603 47601 50348 52804 63468 75522 79206 95202 113283 118809 151044 158412 190404 226566 237618 339849 356427 453132 475236 541241 679698 712854 1082482 1359396 1425708 1623723 2164964 3247446 4871169 6494892 9742338 14613507 19484676 29227014 58454028