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38068500 = 2235341619
BaseRepresentation
bin1001000100111…
…0000100010100
32122122002011110
42101032010110
534221143000
63435535020
7641401611
oct221160424
978562143
1038068500
111a541478
12108ba470
137b6b652
1450ad508
15351e850
hex244e114

38068500 has 96 divisors (see below), whose sum is σ = 113742720. Its totient is φ = 9888000.

The previous prime is 38068489. The next prime is 38068507. The reversal of 38068500 is 586083.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38068507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61191 + ... + 61809.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 238068500 is an apocalyptic number.

38068500 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 38068500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360).

38068500 is an abundant number, since it is smaller than the sum of its proper divisors (75674220).

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

38068500 is a wasteful number, since it uses less digits than its factorization.

38068500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 38068500 is about 6169.9675850040. The cubic root of 38068500 is about 336.3994328506.

The spelling of 38068500 in words is "thirty-eight million, sixty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 125 150 164 205 246 250 300 375 410 492 500 615 619 750 820 1025 1230 1238 1500 1857 2050 2460 2476 3075 3095 3714 4100 5125 6150 6190 7428 9285 10250 12300 12380 15375 15475 18570 20500 25379 30750 30950 37140 46425 50758 61500 61900 76137 77375 92850 101516 126895 152274 154750 185700 232125 253790 304548 309500 380685 464250 507580 634475 761370 928500 1268950 1522740 1903425 2537900 3172375 3806850 6344750 7613700 9517125 12689500 19034250 38068500