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5000800 = 255271947
BaseRepresentation
bin10011000100111001100000
3100102001210211
4103010321200
52240011200
6255103504
760335410
oct23047140
910361724
105000800
1129061a2
121811b94
13106126c
14942640
1568baba
hex4c4e60

5000800 has 144 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 1589760.

The previous prime is 5000797. The next prime is 5000851. The reversal of 5000800 is 80005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106377 + ... + 106423.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

Almost surely, 25000800 is an apocalyptic number.

5000800 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 5000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

5000800 is an abundant number, since it is smaller than the sum of its proper divisors (9998240).

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

5000800 is a wasteful number, since it uses less digits than its factorization.

5000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 5000800 is about 2236.2468557831. The cubic root of 5000800 is about 171.0067140530.

Adding to 5000800 its reverse (80005), we get a palindrome (5080805).

It can be divided in two parts, 5000 and 800, that multiplied together give a square (4000000 = 20002).

The spelling of 5000800 in words is "five million, eight hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 47 50 56 70 76 80 94 95 100 112 133 140 152 160 175 188 190 200 224 235 266 280 304 329 350 376 380 400 470 475 532 560 608 658 665 700 752 760 800 893 940 950 1064 1120 1175 1316 1330 1400 1504 1520 1645 1786 1880 1900 2128 2350 2632 2660 2800 3040 3290 3325 3572 3760 3800 4256 4465 4700 5264 5320 5600 6251 6580 6650 7144 7520 7600 8225 8930 9400 10528 10640 12502 13160 13300 14288 15200 16450 17860 18800 21280 22325 25004 26320 26600 28576 31255 32900 35720 37600 44650 50008 52640 53200 62510 65800 71440 89300 100016 106400 125020 131600 142880 156275 178600 200032 250040 263200 312550 357200 500080 625100 714400 1000160 1250200 2500400 5000800