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36144042 = 23111923741
BaseRepresentation
bin1000100111100…
…0001110101010
32112000022022020
42021320032222
533223102132
63330405310
7616135134
oct211701652
975008266
1036144042
1119447610
1210130836
13764670c
144b2c054
15328e52c
hex22783aa

36144042 has 96 divisors (see below), whose sum is σ = 87562944. Its totient is φ = 9849600.

The previous prime is 36144011. The next prime is 36144107. The reversal of 36144042 is 24044163.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 881542 + ... + 881582.

It is an arithmetic number, because the mean of its divisors is an integer number (912114).

Almost surely, 236144042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36144042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43781472).

36144042 is an abundant number, since it is smaller than the sum of its proper divisors (51418902).

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

36144042 is a wasteful number, since it uses less digits than its factorization.

36144042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 36144042 is about 6011.9915169601. The cubic root of 36144042 is about 330.6325242146.

The spelling of 36144042 in words is "thirty-six million, one hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 11 19 22 33 37 38 41 57 66 74 82 111 114 123 209 222 246 361 407 418 451 627 703 722 779 814 902 1083 1221 1254 1353 1406 1517 1558 2109 2166 2337 2442 2706 3034 3971 4218 4551 4674 7733 7942 8569 9102 11913 13357 14801 15466 16687 17138 23199 23826 25707 26714 28823 29602 33374 40071 44403 46398 50061 51414 57646 80142 86469 88806 100122 146927 162811 172938 293854 317053 325622 440781 488433 547637 634106 881562 951159 976866 1095274 1642911 1902318 3285822 6024007 12048014 18072021 36144042