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38896200 = 23345274
BaseRepresentation
bin1001010001100…
…0001001001000
32201012010120000
42110120021020
534424134300
63505403000
7651420000
oct224301110
981163500
1038896200
111aa57322
1211039460
13809b305
145247000
153634c00
hex2518248

38896200 has 300 divisors, whose sum is σ = 157598265. Its totient is φ = 8890560.

The previous prime is 38896183. The next prime is 38896229. The reversal of 38896200 is 269883.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 38118276 + 777924 = 6174^2 + 882^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4410.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 525 × 147 × 504.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 5556597 + ... + 5556603.

Almost surely, 238896200 is an apocalyptic number.

38896200 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 38896200

38896200 is an abundant number, since it is smaller than the sum of its proper divisors (118702065).

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

38896200 is an equidigital number, since it uses as much as digits as its factorization.

38896200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38896200 is about 6236.6818100653. The cubic root of 38896200 is about 338.8200156652.

The spelling of 38896200 in words is "thirty-eight million, eight hundred ninety-six thousand, two hundred".