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38253400 = 23521711251
BaseRepresentation
bin1001000111101…
…1001101011000
32122222110210121
42101323031120
534243102100
63443523024
7643101643
oct221731530
978873717
1038253400
111a658389
1210989474
137c04863
14511aa5a
15355951a
hex247b358

38253400 has 48 divisors (see below), whose sum is σ = 94179240. Its totient is φ = 14400000.

The previous prime is 38253389. The next prime is 38253401. The reversal of 38253400 is 435283.

38253400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×382534002 = 2926645223120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38253401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2226 + ... + 9025.

Almost surely, 238253400 is an apocalyptic number.

It is an amenable number.

38253400 is an abundant number, since it is smaller than the sum of its proper divisors (55925840).

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

38253400 is a wasteful number, since it uses less digits than its factorization.

38253400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11284 (or 11275 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 38253400 is about 6184.9333060268. The cubic root of 38253400 is about 336.9431879506.

Adding to 38253400 its reverse (435283), we get a palindrome (38688683).

It can be divided in two parts, 3825 and 3400, that added together give a square (7225 = 852).

The spelling of 38253400 in words is "thirty-eight million, two hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 11251 22502 45004 56255 90008 112510 191267 225020 281275 382534 450040 562550 765068 956335 1125100 1530136 1912670 2250200 3825340 4781675 7650680 9563350 19126700 38253400