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5028600 = 2335217229
BaseRepresentation
bin10011001011101011111000
3100110110221110
4103023223320
52241403400
6255440320
760512433
oct23135370
910413843
105028600
112925075
1218260a0
131070b05
1494c81a
15694e50
hex4cbaf8

5028600 has 144 divisors (see below), whose sum is σ = 17130600. Its totient is φ = 1218560.

The previous prime is 5028599. The next prime is 5028607. The reversal of 5028600 is 68205.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5028607) 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 35 ways as a sum of consecutive naturals, for example, 173386 + ... + 173414.

Almost surely, 25028600 is an apocalyptic number.

5028600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5028600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8565300).

5028600 is an abundant number, since it is smaller than the sum of its proper divisors (12102000).

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

5028600 is a wasteful number, since it uses less digits than its factorization.

5028600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5028600 is about 2242.4540129064. The cubic root of 5028600 is about 171.3230104086.

The spelling of 5028600 in words is "five million, twenty-eight thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 29 30 34 40 50 51 58 60 68 75 85 87 100 102 116 120 136 145 150 170 174 200 204 232 255 289 290 300 340 348 408 425 435 493 510 578 580 600 680 696 725 850 867 870 986 1020 1156 1160 1275 1445 1450 1479 1700 1734 1740 1972 2040 2175 2312 2465 2550 2890 2900 2958 3400 3468 3480 3944 4335 4350 4930 5100 5780 5800 5916 6936 7225 7395 8381 8670 8700 9860 10200 11560 11832 12325 14450 14790 16762 17340 17400 19720 21675 24650 25143 28900 29580 33524 34680 36975 41905 43350 49300 50286 57800 59160 67048 73950 83810 86700 98600 100572 125715 147900 167620 173400 201144 209525 251430 295800 335240 419050 502860 628575 838100 1005720 1257150 1676200 2514300 5028600