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58130752 = 2617232101
BaseRepresentation
bin1101110111000…
…0000101000000
311001101100101211
43131300011000
5104340141002
65433535504
71304050261
oct335600500
9131340354
1058130752
112a8a4549
1217574594
13c0741c4
147a12968
155183dd7
hex3770140

58130752 has 84 divisors (see below), whose sum is σ = 128944116. Its totient is φ = 25907200.

The previous prime is 58130749. The next prime is 58130777. The reversal of 58130752 is 25703185.

It can be written as a sum of positive squares in 2 ways, for example, as 51494976 + 6635776 = 7176^2 + 2576^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575502 + ... + 575602.

It is an arithmetic number, because the mean of its divisors is an integer number (1535049).

Almost surely, 258130752 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 58130752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64472058).

58130752 is an abundant number, since it is smaller than the sum of its proper divisors (70813364).

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

58130752 is a wasteful number, since it uses less digits than its factorization.

58130752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 58130752 is about 7624.3525626770. The cubic root of 58130752 is about 387.3783221153.

The spelling of 58130752 in words is "fifty-eight million, one hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 101 136 184 202 272 368 391 404 529 544 736 782 808 1058 1088 1472 1564 1616 1717 2116 2323 3128 3232 3434 4232 4646 6256 6464 6868 8464 8993 9292 12512 13736 16928 17986 18584 25024 27472 33856 35972 37168 39491 53429 54944 71944 74336 78982 106858 109888 143888 148672 157964 213716 287776 315928 427432 575552 631856 854864 908293 1263712 1709728 1816586 2527424 3419456 3633172 7266344 14532688 29065376 58130752