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3875328 = 2932292
BaseRepresentation
bin1110110010001000000000
321021212221200
432302020000
51443002303
6215021200
744640222
oct16621000
97255850
103875328
112207656
12136a800
13a58bc2
1472c412
155183a3
hex3b2200

3875328 has 90 divisors (see below), whose sum is σ = 11583429. Its totient is φ = 1247232.

The previous prime is 3875323. The next prime is 3875329. The reversal of 3875328 is 8235783.

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 3873024 + 2304 = 1968^2 + 48^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1392.

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

It is a d-powerful number, because it can be written as 34 + 85 + 75 + 55 + 313 + 217 + 87 .

It is a junction number, because it is equal to n+sod(n) for n = 3875292 and 3875301.

It is not an unprimeable number, because it can be changed into a prime (3875321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133618 + ... + 133646.

Almost surely, 23875328 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 3875328

3875328 is an abundant number, since it is smaller than the sum of its proper divisors (7708101).

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

3875328 is an equidigital number, since it uses as much as digits as its factorization.

3875328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3875328 is about 1968.5852788233. The cubic root of 3875328 is about 157.0734642057.

It can be divided in two parts, 38753 and 28, that added together give a triangular number (38781 = T278).

The spelling of 3875328 in words is "three million, eight hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 841 928 1044 1152 1392 1536 1682 1856 2088 2304 2523 2784 3364 3712 4176 4608 5046 5568 6728 7424 7569 8352 10092 11136 13456 14848 15138 16704 20184 22272 26912 30276 33408 40368 44544 53824 60552 66816 80736 107648 121104 133632 161472 215296 242208 322944 430592 484416 645888 968832 1291776 1937664 3875328