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36058542 = 23131929839
BaseRepresentation
bin1000100110001…
…1010110101110
32111211222000120
42021203112232
533212333132
63324505410
7615330642
oct211432656
974758016
1036058542
1119399353
12100ab266
137616820
144b08c22
15327402c
hex22635ae

36058542 has 64 divisors (see below), whose sum is σ = 84672000. Its totient is φ = 10136448.

The previous prime is 36058511. The next prime is 36058543. The reversal of 36058542 is 24585063.

36058542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36058543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42559 + ... + 43397.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 236058542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36058542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336000).

36058542 is an abundant number, since it is smaller than the sum of its proper divisors (48613458).

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

36058542 is a wasteful number, since it uses less digits than its factorization.

36058542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 36058542 is about 6004.8765182974. The cubic root of 36058542 is about 330.3716107593.

The spelling of 36058542 in words is "thirty-six million, fifty-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 13 19 26 29 38 39 57 58 78 87 114 174 247 377 494 551 741 754 839 1102 1131 1482 1653 1678 2262 2517 3306 5034 7163 10907 14326 15941 21489 21814 24331 31882 32721 42978 47823 48662 65442 72993 95646 145986 207233 316303 414466 462289 621699 632606 924578 948909 1243398 1386867 1897818 2773734 6009757 12019514 18029271 36058542