Search a number
-
+
48055400 = 2352241997
BaseRepresentation
bin1011011101010…
…0010001101000
310100102110121122
42313110101220
544300233100
64433554412
71122315131
oct267242150
9110373548
1048055400
1125142808
1214115a08
139c57263
14654cc88
154343985
hex2dd4468

48055400 has 48 divisors (see below), whose sum is σ = 112304940. Its totient is φ = 19123200.

The previous prime is 48055391. The next prime is 48055417. The reversal of 48055400 is 455084.

It can be written as a sum of positive squares in 6 ways, for example, as 33016516 + 15038884 = 5746^2 + 3878^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48055400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47702 + ... + 48698.

Almost surely, 248055400 is an apocalyptic number.

48055400 is a gapful number since it is divisible by the number (40) 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 48055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56152470).

48055400 is an abundant number, since it is smaller than the sum of its proper divisors (64249540).

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

48055400 is a wasteful number, since it uses less digits than its factorization.

48055400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 48055400 is about 6932.2002279219. The cubic root of 48055400 is about 363.5638821446.

The spelling of 48055400 in words is "forty-eight million, fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 241 482 964 997 1205 1928 1994 2410 3988 4820 4985 6025 7976 9640 9970 12050 19940 24100 24925 39880 48200 49850 99700 199400 240277 480554 961108 1201385 1922216 2402770 4805540 6006925 9611080 12013850 24027700 48055400