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58081536 = 28342801
BaseRepresentation
bin1101110110010…
…0000100000000
311001021211220000
43131210010000
5104332102121
65432520000
71303453632
oct335440400
9131254800
1058081536
112a870577
1217550000
13c057996
1479dca52
155174526
hex3764100

58081536 has 90 divisors (see below), whose sum is σ = 173250462. Its totient is φ = 19353600.

The previous prime is 58081531. The next prime is 58081553. The reversal of 58081536 is 63518085.

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 8294400 = 7056^2 + 2880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 58081536.

It is not an unprimeable number, because it can be changed into a prime (58081531) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19336 + ... + 22136.

Almost surely, 258081536 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 58081536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86625231).

58081536 is an abundant number, since it is smaller than the sum of its proper divisors (115168926).

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

58081536 is an equidigital number, since it uses as much as digits as its factorization.

58081536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 58081536 is about 7621.1243265020. The cubic root of 58081536 is about 387.2689675204.

The spelling of 58081536 in words is "fifty-eight million, eighty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 2801 3456 5184 5602 6912 8403 10368 11204 16806 20736 22408 25209 33612 44816 50418 67224 75627 89632 100836 134448 151254 179264 201672 226881 268896 302508 358528 403344 453762 537792 605016 717056 806688 907524 1075584 1210032 1613376 1815048 2151168 2420064 3226752 3630096 4840128 6453504 7260192 9680256 14520384 19360512 29040768 58081536