Search a number
-
+
28138050 = 23352191097
BaseRepresentation
bin110101101010…
…1101001000010
31221221120011000
41223111221002
524200404200
62443032430
7461112063
oct153255102
957846130
1028138050
1114979596
12950b716
135aa2645
143a4656a
15270c300
hex1ad5a42

28138050 has 96 divisors (see below), whose sum is σ = 81691200. Its totient is φ = 7102080.

The previous prime is 28138037. The next prime is 28138063. The reversal of 28138050 is 5083182.

It is a happy number.

28138050 is a `hidden beast` number, since 281 + 380 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28138037) and next prime (28138063).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25102 + ... + 26198.

It is an arithmetic number, because the mean of its divisors is an integer number (850950).

Almost surely, 228138050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28138050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40845600).

28138050 is an abundant number, since it is smaller than the sum of its proper divisors (53553150).

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

28138050 is a wasteful number, since it uses less digits than its factorization.

28138050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 28138050 is about 5304.5310820090. The cubic root of 28138050 is about 304.1571282011.

The spelling of 28138050 in words is "twenty-eight million, one hundred thirty-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 114 135 150 171 190 225 270 285 342 450 475 513 570 675 855 950 1026 1097 1350 1425 1710 2194 2565 2850 3291 4275 5130 5485 6582 8550 9873 10970 12825 16455 19746 20843 25650 27425 29619 32910 41686 49365 54850 59238 62529 82275 98730 104215 125058 148095 164550 187587 208430 246825 296190 312645 375174 493650 521075 562761 625290 740475 937935 1042150 1125522 1480950 1563225 1875870 2813805 3126450 4689675 5627610 9379350 14069025 28138050