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38027232 = 253417863
BaseRepresentation
bin1001000100001…
…1111111100000
32122112222120000
42101003333200
534213332412
63435020000
7641140365
oct221037740
978488500
1038027232
111a513471
121089a600
137b55929
14509c46c
1535124dc
hex2443fe0

38027232 has 120 divisors (see below), whose sum is σ = 118552896. Its totient is φ = 11916288.

The previous prime is 38027221. The next prime is 38027237. The reversal of 38027232 is 23272083.

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

It is a junction number, because it is equal to n+sod(n) for n = 38027196 and 38027205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38027237) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43633 + ... + 44495.

Almost surely, 238027232 is an apocalyptic number.

38027232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38027232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59276448).

38027232 is an abundant number, since it is smaller than the sum of its proper divisors (80525664).

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

38027232 is a wasteful number, since it uses less digits than its factorization.

38027232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 38027232 is about 6166.6224142556. The cubic root of 38027232 is about 336.2778314281.

The spelling of 38027232 in words is "thirty-eight million, twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 863 864 918 1224 1296 1377 1632 1726 1836 2448 2589 2592 2754 3452 3672 4896 5178 5508 6904 7344 7767 10356 11016 13808 14671 14688 15534 20712 22032 23301 27616 29342 31068 41424 44013 44064 46602 58684 62136 69903 82848 88026 93204 117368 124272 132039 139806 176052 186408 234736 248544 264078 279612 352104 372816 396117 469472 528156 559224 704208 745632 792234 1056312 1118448 1188351 1408416 1584468 2112624 2236896 2376702 3168936 4225248 4753404 6337872 9506808 12675744 19013616 38027232