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36238104 = 233572663
BaseRepresentation
bin1000101000111…
…1001100011000
32112012002100000
42022033030120
533234104404
63332413000
7620006310
oct212171430
975162300
1036238104
1119501251
1210177160
13767a486
144b54440
1532ac339
hex228f318

36238104 has 96 divisors (see below), whose sum is σ = 116363520. Its totient is φ = 10349856.

The previous prime is 36238079. The next prime is 36238109. The reversal of 36238104 is 40183263.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36238109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12277 + ... + 14939.

It is an arithmetic number, because the mean of its divisors is an integer number (1212120).

Almost surely, 236238104 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 36238104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58181760).

36238104 is an abundant number, since it is smaller than the sum of its proper divisors (80125416).

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

36238104 is a wasteful number, since it uses less digits than its factorization.

36238104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36238104 is about 6019.8092993051. The cubic root of 36238104 is about 330.9190907350.

The spelling of 36238104 in words is "thirty-six million, two hundred thirty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 2663 3402 4536 5326 6804 7989 10652 13608 15978 18641 21304 23967 31956 37282 47934 55923 63912 71901 74564 95868 111846 143802 149128 167769 191736 215703 223692 287604 335538 431406 447384 503307 575208 647109 671076 862812 1006614 1294218 1342152 1509921 1725624 2013228 2588436 3019842 4026456 4529763 5176872 6039684 9059526 12079368 18119052 36238104