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38330500 = 2253135897
BaseRepresentation
bin1001001000111…
…0000010000100
32200010101120011
42102032002010
534303034000
63445320004
7643542505
oct222160204
980111504
1038330500
111a7002aa
1210a06004
137c30990
14513abac
1535722ba
hex248e084

38330500 has 48 divisors (see below), whose sum is σ = 90168624. Its totient is φ = 14150400.

The previous prime is 38330497. The next prime is 38330507. The reversal of 38330500 is 503383.

It can be written as a sum of positive squares in 8 ways, for example, as 10536516 + 27793984 = 3246^2 + 5272^2 .

It is not an unprimeable number, because it can be changed into a prime (38330507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3552 + ... + 9448.

It is an arithmetic number, because the mean of its divisors is an integer number (1878513).

Almost surely, 238330500 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 38330500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45084312).

38330500 is an abundant number, since it is smaller than the sum of its proper divisors (51838124).

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

38330500 is a wasteful number, since it uses less digits than its factorization.

38330500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5929 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 38330500 is about 6191.1630571323. The cubic root of 38330500 is about 337.1694065015.

Adding to 38330500 its reverse (503383), we get a palindrome (38833883).

The spelling of 38330500 in words is "thirty-eight million, three hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 5897 6500 11794 23588 29485 58970 76661 117940 147425 153322 294850 306644 383305 589700 737125 766610 1474250 1533220 1916525 2948500 3833050 7666100 9582625 19165250 38330500