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38499000 = 2335341313
BaseRepresentation
bin1001001011011…
…1001010111000
32200102221200220
42102313022320
534323432000
63453100040
7645143661
oct222671270
980387626
1038499000
111a805961
1210a87620
137c8c597
145182368
1535a71a0
hex24b72b8

38499000 has 128 divisors (see below), whose sum is σ = 123439680. Its totient is φ = 9984000.

The previous prime is 38498963. The next prime is 38499007. The reversal of 38499000 is 99483.

38499000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38499007) 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 31 ways as a sum of consecutive naturals, for example, 122844 + ... + 123156.

Almost surely, 238499000 is an apocalyptic number.

38499000 is a gapful number since it is divisible by the number (30) 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 38499000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61719840).

38499000 is an abundant number, since it is smaller than the sum of its proper divisors (84940680).

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

38499000 is a wasteful number, since it uses less digits than its factorization.

38499000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 38499000 is about 6204.7562401758. The cubic root of 38499000 is about 337.6627472971.

The spelling of 38499000 in words is "thirty-eight million, four hundred ninety-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 125 150 164 200 205 246 250 300 313 328 375 410 492 500 600 615 626 750 820 939 984 1000 1025 1230 1252 1500 1565 1640 1878 2050 2460 2504 3000 3075 3130 3756 4100 4695 4920 5125 6150 6260 7512 7825 8200 9390 10250 12300 12520 12833 15375 15650 18780 20500 23475 24600 25666 30750 31300 37560 38499 39125 41000 46950 51332 61500 62600 64165 76998 78250 93900 102664 117375 123000 128330 153996 156500 187800 192495 234750 256660 307992 313000 320825 384990 469500 513320 641650 769980 939000 962475 1283300 1539960 1604125 1924950 2566600 3208250 3849900 4812375 6416500 7699800 9624750 12833000 19249500 38499000