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3796128 = 253272269
BaseRepresentation
bin1110011110110010100000
321010212022100
432132302200
51432434003
6213210400
744160300
oct16366240
97125270
103796128
1121630a6
121330a00
13a2bb3b
1470b600
154eeba3
hex39eca0

3796128 has 108 divisors (see below), whose sum is σ = 12604410. Its totient is φ = 1080576.

The previous prime is 3796109. The next prime is 3796183. The reversal of 3796128 is 8216973.

3796128 is a `hidden beast` number, since 37 + 9 + 612 + 8 = 666.

3796128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3732624 + 63504 = 1932^2 + 252^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 3796092 and 3796101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13978 + ... + 14246.

Almost surely, 23796128 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 3796128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6302205).

3796128 is an abundant number, since it is smaller than the sum of its proper divisors (8808282).

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

3796128 is a wasteful number, since it uses less digits than its factorization.

3796128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3796128 is about 1948.3654687969. The cubic root of 3796128 is about 155.9960551271.

The spelling of 3796128 in words is "three million, seven hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 269 288 294 336 392 441 504 538 588 672 784 807 882 1008 1076 1176 1568 1614 1764 1883 2016 2152 2352 2421 3228 3528 3766 4304 4704 4842 5649 6456 7056 7532 8608 9684 11298 12912 13181 14112 15064 16947 19368 22596 25824 26362 30128 33894 38736 39543 45192 52724 60256 67788 77472 79086 90384 105448 118629 135576 158172 180768 210896 237258 271152 316344 421792 474516 542304 632688 949032 1265376 1898064 3796128