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36092742 = 23719311459
BaseRepresentation
bin1000100110101…
…1101101000110
32111220200221020
42021223231012
533214431432
63325332010
7615532440
oct211535506
974820836
1036092742
1119412014
1210107006
13762926a
144b17490
15327e22c
hex226bb46

36092742 has 64 divisors (see below), whose sum is σ = 89702400. Its totient is φ = 9447840.

The previous prime is 36092731. The next prime is 36092743. The reversal of 36092742 is 24729063.

36092742 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 (36092743) 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, 24009 + ... + 25467.

It is an arithmetic number, because the mean of its divisors is an integer number (1401600).

Almost surely, 236092742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36092742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44851200).

36092742 is an abundant number, since it is smaller than the sum of its proper divisors (53609658).

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

36092742 is a wasteful number, since it uses less digits than its factorization.

36092742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 36092742 is about 6007.7235289251. The cubic root of 36092742 is about 330.4760255824.

The spelling of 36092742 in words is "thirty-six million, ninety-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 399 434 589 651 798 1178 1302 1459 1767 2918 3534 4123 4377 8246 8754 10213 12369 20426 24738 27721 30639 45229 55442 61278 83163 90458 135687 166326 194047 271374 316603 388094 582141 633206 859351 949809 1164282 1718702 1899618 2578053 5156106 6015457 12030914 18046371 36092742