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36794142 = 2337118849
BaseRepresentation
bin1000110001011…
…0111100011110
32120020100002000
42030112330132
533404403032
63352343130
7624513360
oct214267436
976210060
1036794142
1119850a90
12103a4aa6
1378135a8
144c5ad30
15336be7c
hex2316f1e

36794142 has 64 divisors (see below), whose sum is σ = 101952000. Its totient is φ = 9555840.

The previous prime is 36794141. The next prime is 36794167. The reversal of 36794142 is 24149763.

It is a junction number, because it is equal to n+sod(n) for n = 36794097 and 36794106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36794141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267 + ... + 8582.

It is an arithmetic number, because the mean of its divisors is an integer number (1593000).

Almost surely, 236794142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36794142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50976000).

36794142 is an abundant number, since it is smaller than the sum of its proper divisors (65157858).

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

36794142 is a wasteful number, since it uses less digits than its factorization.

36794142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 8872 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 36794142 is about 6065.8175046732. The cubic root of 36794142 is about 332.6030494470.

The spelling of 36794142 in words is "thirty-six million, seven hundred ninety-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 8849 17698 26547 53094 61943 79641 97339 123886 159282 185829 194678 238923 292017 371658 477846 557487 584034 681373 876051 1114974 1362746 1672461 1752102 2044119 2628153 3344922 4088238 5256306 6132357 12264714 18397071 36794142