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38020000 = 25541901
BaseRepresentation
bin1001000100001…
…0001110100000
32122112121122011
42101002032200
534213120000
63434522304
7641110324
oct221021640
978477564
1038020000
111a508a97
1210896394
137b52555
145099984
1535102ba
hex24423a0

38020000 has 60 divisors (see below), whose sum is σ = 93584106. Its totient is φ = 15200000.

The previous prime is 38019991. The next prime is 38020009. The reversal of 38020000 is 2083.

It is an interprime number because it is at equal distance from previous prime (38019991) and next prime (38020009).

It can be written as a sum of positive squares in 5 ways, for example, as 712336 + 37307664 = 844^2 + 6108^2 .

It is not an unprimeable number, because it can be changed into a prime (38020009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19050 + ... + 20950.

Almost surely, 238020000 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 38020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46792053).

38020000 is an abundant number, since it is smaller than the sum of its proper divisors (55564106).

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

38020000 is an equidigital number, since it uses as much as digits as its factorization.

38020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 38020000 is about 6166.0360037872. The cubic root of 38020000 is about 336.2565123599.

Adding to 38020000 its reverse (2083), we get a palindrome (38022083).

The spelling of 38020000 in words is "thirty-eight million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1901 2000 2500 3802 4000 5000 7604 9505 10000 15208 19010 20000 30416 38020 47525 60832 76040 95050 152080 190100 237625 304160 380200 475250 760400 950500 1188125 1520800 1901000 2376250 3802000 4752500 7604000 9505000 19010000 38020000