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38486364 = 22372293761
BaseRepresentation
bin1001001011010…
…0000101011100
32200102022100220
42102310011130
534323030424
63452521340
7645062100
oct222640534
980368326
1038486364
111a7a7414
1210a80250
137c868c7
14517b900
1535a3579
hex24b415c

38486364 has 144 divisors (see below), whose sum is σ = 112805280. Its totient is φ = 10160640.

The previous prime is 38486299. The next prime is 38486369. The reversal of 38486364 is 46368483.

38486364 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38486369) 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 47 ways as a sum of consecutive naturals, for example, 630894 + ... + 630954.

It is an arithmetic number, because the mean of its divisors is an integer number (783370).

Almost surely, 238486364 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 38486364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56402640).

38486364 is an abundant number, since it is smaller than the sum of its proper divisors (74318916).

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

38486364 is a wasteful number, since it uses less digits than its factorization.

38486364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 38486364 is about 6203.7379054889. The cubic root of 38486364 is about 337.6258011135.

The spelling of 38486364 in words is "thirty-eight million, four hundred eighty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 37 42 49 58 61 74 84 87 98 111 116 122 147 148 174 183 196 203 222 244 259 294 348 366 406 427 444 518 588 609 732 777 812 854 1036 1073 1218 1281 1421 1554 1708 1769 1813 2146 2257 2436 2562 2842 2989 3108 3219 3538 3626 4263 4292 4514 5124 5307 5439 5684 5978 6438 6771 7076 7252 7511 8526 8967 9028 10614 10878 11956 12383 12876 13542 15022 15799 17052 17934 21228 21756 22533 24766 27084 30044 31598 35868 37149 45066 47397 49532 52577 63196 65453 74298 86681 90132 94794 105154 110593 130906 148596 157731 173362 189588 196359 210308 221186 260043 261812 315462 331779 346724 392718 442372 458171 520086 630924 663558 785436 916342 1040172 1327116 1374513 1832684 2749026 3207197 5498052 6414394 9621591 12828788 19243182 38486364