Search a number
-
+
3878028 = 22327111399
BaseRepresentation
bin1110110010110010001100
321022000122200
432302302030
51443044103
6215041500
744651130
oct16626214
97260580
103878028
112209690
121370290
13a5a1bb
1472d3c0
155190a3
hex3b2c8c

3878028 has 72 divisors (see below), whose sum is σ = 12230400. Its totient is φ = 1006560.

The previous prime is 3878003. The next prime is 3878051. The reversal of 3878028 is 8208783.

3878028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 3877983 and 3878001.

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 23 ways as a sum of consecutive naturals, for example, 2073 + ... + 3471.

Almost surely, 23878028 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 3878028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115200).

3878028 is an abundant number, since it is smaller than the sum of its proper divisors (8352372).

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

3878028 is a wasteful number, since it uses less digits than its factorization.

3878028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3878028 is about 1969.2709310808. The cubic root of 3878028 is about 157.1099342284.

The spelling of 3878028 in words is "three million, eight hundred seventy-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 1399 2772 2798 4197 5596 8394 9793 12591 15389 16788 19586 25182 29379 30778 39172 46167 50364 58758 61556 88137 92334 107723 117516 138501 176274 184668 215446 277002 323169 352548 430892 554004 646338 969507 1292676 1939014 3878028