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58328564 = 22717283433
BaseRepresentation
bin1101111010000…
…0010111110100
311001202101202012
43132200113310
5104413003224
65442103352
71305533060
oct336402764
9131671665
1058328564
112aa1a128
121764ab58
13c113258
147a64aa0
1551c280e
hex37a05f4

58328564 has 48 divisors (see below), whose sum is σ = 124242048. Its totient is φ = 23390208.

The previous prime is 58328563. The next prime is 58328573. The reversal of 58328564 is 46582385.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58328563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134492 + ... + 134924.

It is an arithmetic number, because the mean of its divisors is an integer number (2588376).

Almost surely, 258328564 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 58328564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62121024).

58328564 is an abundant number, since it is smaller than the sum of its proper divisors (65913484).

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

58328564 is a wasteful number, since it uses less digits than its factorization.

58328564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 742 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The square root of 58328564 is about 7637.3139257202. The cubic root of 58328564 is about 387.8172253535.

The spelling of 58328564 in words is "fifty-eight million, three hundred twenty-eight thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 283 433 476 566 866 1132 1732 1981 3031 3962 4811 6062 7361 7924 9622 12124 14722 19244 29444 33677 51527 67354 103054 122539 134708 206108 245078 490156 857773 1715546 2083163 3431092 4166326 8332652 14582141 29164282 58328564