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38485400 = 2352337571
BaseRepresentation
bin1001001011001…
…1110110011000
32200102021001012
42102303312120
534323013100
63452513052
7645056222
oct222636630
980367035
1038485400
111a7a6718
1210a7b788
137c86335
14517b412
1535a3135
hex24b3d98

38485400 has 48 divisors (see below), whose sum is σ = 89901240. Its totient is φ = 15321600.

The previous prime is 38485379. The next prime is 38485409. The reversal of 38485400 is 458483.

38485400 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 2×384854002 = 2962252026320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38485409) 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, 67115 + ... + 67685.

Almost surely, 238485400 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 38485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44950620).

38485400 is an abundant number, since it is smaller than the sum of its proper divisors (51415840).

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

38485400 is a wasteful number, since it uses less digits than its factorization.

38485400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 38485400 is about 6203.6602099083. The cubic root of 38485400 is about 337.6229821585.

The spelling of 38485400 in words is "thirty-eight million, four hundred eighty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 337 571 674 1142 1348 1685 2284 2696 2855 3370 4568 5710 6740 8425 11420 13480 14275 16850 22840 28550 33700 57100 67400 114200 192427 384854 769708 962135 1539416 1924270 3848540 4810675 7697080 9621350 19242700 38485400