Search a number
-
+
28906950 = 23521031871
BaseRepresentation
bin110111001000…
…1010111000110
32000101121212210
41232101113012
524400010300
62511324250
7500463552
oct156212706
960347783
1028906950
1115354246
129820686
135cb1607
143ba6862
152810050
hex1b915c6

28906950 has 48 divisors (see below), whose sum is σ = 72423936. Its totient is φ = 7629600.

The previous prime is 28906901. The next prime is 28906951. The reversal of 28906950 is 5960982.

It is a happy number.

It is a super-2 number, since 2×289069502 = 1671223516605000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28906899 and 28906908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28906951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14515 + ... + 16385.

It is an arithmetic number, because the mean of its divisors is an integer number (1508832).

Almost surely, 228906950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28906950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36211968).

28906950 is an abundant number, since it is smaller than the sum of its proper divisors (43516986).

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

28906950 is a wasteful number, since it uses less digits than its factorization.

28906950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 28906950 is about 5376.5183901852. The cubic root of 28906950 is about 306.9027338490.

The spelling of 28906950 in words is "twenty-eight million, nine hundred six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 103 150 206 309 515 618 1030 1545 1871 2575 3090 3742 5150 5613 7725 9355 11226 15450 18710 28065 46775 56130 93550 140325 192713 280650 385426 578139 963565 1156278 1927130 2890695 4817825 5781390 9635650 14453475 28906950