Search a number
-
+
28616900 = 22521322013
BaseRepresentation
bin110110100101…
…0100011000100
31222211220000012
41231022203010
524311220100
62501205352
7465145124
oct155124304
958756005
1028616900
1115176334
129700858
135c0c5a0
143b2cc84
1527a4135
hex1b4a8c4

28616900 has 36 divisors (see below), whose sum is σ = 66878532. Its totient is φ = 10565760.

The previous prime is 28616879. The next prime is 28616927. The reversal of 28616900 is 961682.

It can be written as a sum of positive squares in 6 ways, for example, as 1597696 + 27019204 = 1264^2 + 5198^2 .

It is a super-2 number, since 2×286169002 = 1637853931220000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 9707 + ... + 12306.

It is an arithmetic number, because the mean of its divisors is an integer number (1857737).

Almost surely, 228616900 is an apocalyptic number.

28616900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28616900 is an abundant number, since it is smaller than the sum of its proper divisors (38261632).

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

28616900 is a wasteful number, since it uses less digits than its factorization.

28616900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22040 (or 22033 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 28616900 is about 5349.4766099124. The cubic root of 28616900 is about 305.8728023036.

The spelling of 28616900 in words is "twenty-eight million, six hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 22013 44026 88052 110065 220130 286169 440260 550325 572338 1100650 1144676 1430845 2201300 2861690 5723380 7154225 14308450 28616900