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38125100 = 22521329327
BaseRepresentation
bin1001000101101…
…1111000101100
32122201221210202
42101123320230
534230000400
63441053032
7642025616
oct221337054
978657722
1038125100
111a57aa52
1210927178
137b8b340
1450c5db6
1535314d5
hex245be2c

38125100 has 36 divisors (see below), whose sum is σ = 89098464. Its totient is φ = 14076480.

The previous prime is 38125081. The next prime is 38125103. The reversal of 38125100 is 152183.

38125100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (38125103) 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, 13364 + ... + 15963.

Almost surely, 238125100 is an apocalyptic number.

It is an amenable number.

38125100 is an abundant number, since it is smaller than the sum of its proper divisors (50973364).

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

38125100 is a wasteful number, since it uses less digits than its factorization.

38125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29354 (or 29347 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 38125100 is about 6174.5526153722. The cubic root of 38125100 is about 336.5660691282.

Adding to 38125100 its reverse (152183), we get a palindrome (38277283).

The spelling of 38125100 in words is "thirty-eight million, one hundred twenty-five thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 29327 58654 117308 146635 293270 381251 586540 733175 762502 1466350 1525004 1906255 2932700 3812510 7625020 9531275 19062550 38125100