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36742836 = 22313317743
BaseRepresentation
bin1000110000101…
…0011010110100
32120010201200210
42030022122310
533401232321
63351305420
7624210654
oct214123264
976121623
1036742836
1119816489
121037b270
1377c6130
144c46364
15335bb76
hex230a6b4

36742836 has 48 divisors (see below), whose sum is σ = 92744064. Its totient is φ = 11254656.

The previous prime is 36742829. The next prime is 36742841. The reversal of 36742836 is 63824763.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 36742794 and 36742803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49081 + ... + 49823.

It is an arithmetic number, because the mean of its divisors is an integer number (1932168).

Almost surely, 236742836 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 36742836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46372032).

36742836 is an abundant number, since it is smaller than the sum of its proper divisors (56001228).

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

36742836 is a wasteful number, since it uses less digits than its factorization.

36742836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1078 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 36742836 is about 6061.5869209309. The cubic root of 36742836 is about 332.4483828895.

The spelling of 36742836 in words is "thirty-six million, seven hundred forty-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 317 634 743 951 1268 1486 1902 2229 2972 3804 4121 4458 8242 8916 9659 12363 16484 19318 24726 28977 38636 49452 57954 115908 235531 471062 706593 942124 1413186 2826372 3061903 6123806 9185709 12247612 18371418 36742836