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38531052 = 223572809
BaseRepresentation
bin1001001011111…
…0111111101100
32200111120200000
42102332333230
534330443202
63453504300
7645336300
oct222767754
980446600
1038531052
111a827a4a
1210aa2090
137ca1051
14518dd00
1535b191c
hex24befec

38531052 has 108 divisors (see below), whose sum is σ = 117641160. Its totient is φ = 10995264.

The previous prime is 38531029. The next prime is 38531057. The reversal of 38531052 is 25013583.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is not an unprimeable number, because it can be changed into a prime (38531057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47224 + ... + 48032.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 238531052 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 38531052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58820580).

38531052 is an abundant number, since it is smaller than the sum of its proper divisors (79110108).

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

38531052 is a wasteful number, since it uses less digits than its factorization.

38531052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 38531052 is about 6207.3385601238. The cubic root of 38531052 is about 337.7564273433.

The spelling of 38531052 in words is "thirty-eight million, five hundred thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 809 882 972 1134 1323 1618 1701 1764 2268 2427 2646 3236 3402 3969 4854 5292 5663 6804 7281 7938 9708 11326 11907 14562 15876 16989 21843 22652 23814 29124 33978 39641 43686 47628 50967 65529 67956 79282 87372 101934 118923 131058 152901 158564 196587 203868 237846 262116 305802 356769 393174 458703 475692 611604 713538 786348 917406 1070307 1376109 1427076 1834812 2140614 2752218 3210921 4281228 5504436 6421842 9632763 12843684 19265526 38531052