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38235168 = 2532132761
BaseRepresentation
bin1001000111011…
…0110000100000
32122221112210100
42101312300200
534242011133
63443302400
7642664536
oct221666040
978845710
1038235168
111a645714
121097aa00
137bc947a
145114156
153553e13
hex2476c20

38235168 has 36 divisors (see below), whose sum is σ = 108732078. Its totient is φ = 12744960.

The previous prime is 38235167. The next prime is 38235173. The reversal of 38235168 is 86153283.

It can be written as a sum of positive squares in only one way, i.e., 31945104 + 6290064 = 5652^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (38235167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66093 + ... + 66668.

Almost surely, 238235168 is an apocalyptic number.

It is an amenable number.

38235168 is an abundant number, since it is smaller than the sum of its proper divisors (70496910).

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

38235168 is a wasteful number, since it uses less digits than its factorization.

38235168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132777 (or 132766 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 38235168 is about 6183.4592260320. The cubic root of 38235168 is about 336.8896491416.

The spelling of 38235168 in words is "thirty-eight million, two hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 132761 265522 398283 531044 796566 1062088 1194849 1593132 2124176 2389698 3186264 4248352 4779396 6372528 9558792 12745056 19117584 38235168