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5628150 = 2335211379
BaseRepresentation
bin10101011110000011110110
3101120221101000
4111132003312
52420100100
6320344130
765560413
oct25360366
911527330
105628150
1131a4570
121a75046
131220988
14a6710a
15762900
hex55e0f6

5628150 has 96 divisors (see below), whose sum is σ = 16963200. Its totient is φ = 1360800.

The previous prime is 5628137. The next prime is 5628151. The reversal of 5628150 is 518265.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5628151) 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 47 ways as a sum of consecutive naturals, for example, 14661 + ... + 15039.

It is an arithmetic number, because the mean of its divisors is an integer number (176700).

Almost surely, 25628150 is an apocalyptic number.

5628150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5628150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481600).

5628150 is an abundant number, since it is smaller than the sum of its proper divisors (11335050).

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

5628150 is a wasteful number, since it uses less digits than its factorization.

5628150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5628150 is about 2372.3722304900. The cubic root of 5628150 is about 177.8778567004.

It can be divided in two parts, 5628 and 150, that added together give a triangular number (5778 = T107).

The spelling of 5628150 in words is "five million, six hundred twenty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 135 150 165 198 225 270 275 297 330 379 450 495 550 594 675 758 825 990 1137 1350 1485 1650 1895 2274 2475 2970 3411 3790 4169 4950 5685 6822 7425 8338 9475 10233 11370 12507 14850 17055 18950 20466 20845 25014 28425 34110 37521 41690 51165 56850 62535 75042 85275 102330 104225 112563 125070 170550 187605 208450 225126 255825 312675 375210 511650 562815 625350 938025 1125630 1876050 2814075 5628150