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5047838800 = 2452432691091
BaseRepresentation
bin1001011001101111…
…11110100001010000
3111000210101210001121
410230313332201100
540314221320200
62152520412024
7236042631124
oct45467764120
914023353047
105047838800
112160412004
12b8a617014
13625a3b384
1435c595584
151e8255e1a
hex12cdfe850

5047838800 has 120 divisors (see below), whose sum is σ = 12467014560. Its totient is φ = 1963046400.

The previous prime is 5047838777. The next prime is 5047838801. The reversal of 5047838800 is 88387405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5047838801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4626255 + ... + 4627345.

It is an arithmetic number, because the mean of its divisors is an integer number (103891788).

Almost surely, 25047838800 is an apocalyptic number.

5047838800 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 5047838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233507280).

5047838800 is an abundant number, since it is smaller than the sum of its proper divisors (7419175760).

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

5047838800 is a wasteful number, since it uses less digits than its factorization.

5047838800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 5047838800 is about 71048.1442403670. The cubic root of 5047838800 is about 1715.4121922874.

The spelling of 5047838800 in words is "five billion, forty-seven million, eight hundred thirty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 269 344 400 430 538 688 860 1075 1076 1091 1345 1720 2150 2152 2182 2690 3440 4300 4304 4364 5380 5455 6725 8600 8728 10760 10910 11567 13450 17200 17456 21520 21820 23134 26900 27275 43640 46268 46913 53800 54550 57835 87280 92536 93826 107600 109100 115670 185072 187652 218200 231340 234565 289175 293479 375304 436400 462680 469130 578350 586958 750608 925360 938260 1156700 1172825 1173916 1467395 1876520 2313400 2345650 2347832 2934790 3753040 4626800 4691300 4695664 5869580 7336975 9382600 11739160 12619597 14673950 18765200 23478320 25239194 29347900 50478388 58695800 63097985 100956776 117391600 126195970 201913552 252391940 315489925 504783880 630979850 1009567760 1261959700 2523919400 5047838800