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58260528 = 243243972
BaseRepresentation
bin1101111000111…
…1110000110000
311001121221102100
43132033300300
5104403314103
65440420400
71305130524
oct336176060
9131557370
1058260528
112a982aa7
1217617700
13c0bb2b1
147a47d84
1551ac5a3
hex378fc30

58260528 has 90 divisors (see below), whose sum is σ = 168578124. Its totient is φ = 18772992.

The previous prime is 58260523. The next prime is 58260569. The reversal of 58260528 is 82506285.

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 = 58260492 and 58260501.

It is not an unprimeable number, because it can be changed into a prime (58260523) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 600576 + ... + 600672.

Almost surely, 258260528 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 58260528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84289062).

58260528 is an abundant number, since it is smaller than the sum of its proper divisors (110317596).

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

58260528 is a wasteful number, since it uses less digits than its factorization.

58260528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 58260528 is about 7632.8584422875. The cubic root of 58260528 is about 387.6663798871. Note that the first 3 decimals are identical.

The spelling of 58260528 in words is "fifty-eight million, two hundred sixty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 97 129 144 172 194 258 291 344 387 388 516 582 688 774 776 873 1032 1164 1548 1552 1746 2064 2328 3096 3492 4171 4656 6192 6984 8342 9409 12513 13968 16684 18818 25026 28227 33368 37539 37636 50052 56454 66736 75078 75272 84681 100104 112908 150156 150544 169362 200208 225816 300312 338724 404587 451632 600624 677448 809174 1213761 1354896 1618348 2427522 3236696 3641283 4855044 6473392 7282566 9710088 14565132 19420176 29130264 58260528