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38188368 = 2433109811
BaseRepresentation
bin1001000110101…
…1010101010000
32122212011121000
42101223111100
534234011433
63442302000
7642411231
oct221532520
978764530
1038188368
111a613539
1210957900
137bb108a
145101088
153545113
hex246b550

38188368 has 80 divisors (see below), whose sum is σ = 110756800. Its totient is φ = 12597120.

The previous prime is 38188361. The next prime is 38188369. The reversal of 38188368 is 86388183.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38188361) 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 15 ways as a sum of consecutive naturals, for example, 46683 + ... + 47493.

It is an arithmetic number, because the mean of its divisors is an integer number (1384460).

Almost surely, 238188368 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 38188368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55378400).

38188368 is an abundant number, since it is smaller than the sum of its proper divisors (72568432).

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

38188368 is a wasteful number, since it uses less digits than its factorization.

38188368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 925 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 38188368 is about 6179.6737777977. The cubic root of 38188368 is about 336.7521415928.

The spelling of 38188368 in words is "thirty-eight million, one hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 216 218 327 432 436 654 811 872 981 1308 1622 1744 1962 2433 2616 2943 3244 3924 4866 5232 5886 6488 7299 7848 9732 11772 12976 14598 15696 19464 21897 23544 29196 38928 43794 47088 58392 87588 88399 116784 175176 176798 265197 350352 353596 530394 707192 795591 1060788 1414384 1591182 2121576 2386773 3182364 4243152 4773546 6364728 9547092 12729456 19094184 38188368