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58533228 = 223213181691
BaseRepresentation
bin1101111101001…
…0010101101100
311002010210111100
43133102111230
5104441030403
65450323100
71310344545
oct337222554
9132123440
1058533228
1130049976
1217729490
13c185460
147ab94cc
1552132a3
hex37d256c

58533228 has 72 divisors (see below), whose sum is σ = 160452656. Its totient is φ = 17884800.

The previous prime is 58533169. The next prime is 58533247. The reversal of 58533228 is 82233585.

It is a super-2 number, since 2×585332282 = 6852277560199968, 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 = 58533192 and 58533201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84363 + ... + 85053.

Almost surely, 258533228 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 58533228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80226328).

58533228 is an abundant number, since it is smaller than the sum of its proper divisors (101919428).

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

58533228 is a wasteful number, since it uses less digits than its factorization.

58533228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 890 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 58533228 is about 7650.7011443396. The cubic root of 58533228 is about 388.2702885163.

The spelling of 58533228 in words is "fifty-eight million, five hundred thirty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 181 234 362 468 543 691 724 1086 1382 1629 2073 2172 2353 2764 3258 4146 4706 6219 6516 7059 8292 8983 9412 12438 14118 17966 21177 24876 26949 28236 35932 42354 53898 80847 84708 107796 125071 161694 250142 323388 375213 500284 750426 1125639 1500852 1625923 2251278 3251846 4502556 4877769 6503692 9755538 14633307 19511076 29266614 58533228