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38190528 = 263453139
BaseRepresentation
bin1001000110101…
…1110111000000
32122212021120000
42101223313000
534234044103
63442320000
7642420435
oct221536700
978767500
1038190528
111a615122
1210959000
137bb205c
145101b8c
153545aa3
hex246bdc0

38190528 has 140 divisors (see below), whose sum is σ = 116174520. Its totient is φ = 12400128.

The previous prime is 38190521. The next prime is 38190563. The reversal of 38190528 is 82509183.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38190492 and 38190501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38190521) 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, 274683 + ... + 274821.

It is an arithmetic number, because the mean of its divisors is an integer number (829818).

Almost surely, 238190528 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 38190528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58087260).

38190528 is an abundant number, since it is smaller than the sum of its proper divisors (77983992).

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

38190528 is a wasteful number, since it uses less digits than its factorization.

38190528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 38190528 is about 6179.8485418334. The cubic root of 38190528 is about 336.7584905672.

It can be divided in two parts, 381 and 90528, that added together give a palindrome (90909).

The spelling of 38190528 in words is "thirty-eight million, one hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 139 144 159 162 192 212 216 278 288 318 324 417 424 432 477 556 576 636 648 834 848 864 954 1112 1251 1272 1296 1431 1668 1696 1728 1908 2224 2502 2544 2592 2862 3336 3392 3753 3816 4293 4448 5004 5088 5184 5724 6672 7367 7506 7632 8586 8896 10008 10176 11259 11448 13344 14734 15012 15264 17172 20016 22101 22518 22896 26688 29468 30024 30528 34344 40032 44202 45036 45792 58936 60048 66303 68688 80064 88404 90072 91584 117872 120096 132606 137376 176808 180144 198909 235744 240192 265212 274752 353616 360288 397818 471488 530424 596727 707232 720576 795636 1060848 1193454 1414464 1591272 2121696 2386908 3182544 4243392 4773816 6365088 9547632 12730176 19095264 38190528