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48121200 = 24325213367
BaseRepresentation
bin1011011110010…
…0010101110000
310100112210212200
42313210111300
544304334300
64435223200
71123011021
oct267442560
9110483780
1048121200
1125188196
1214147b00
139c7b1aa
146568c48
154358200
hex2de4570

48121200 has 90 divisors (see below), whose sum is σ = 167006424. Its totient is φ = 12831360.

The previous prime is 48121187. The next prime is 48121247. The reversal of 48121200 is 212184.

48121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3084 + ... + 10283.

Almost surely, 248121200 is an apocalyptic number.

48121200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48121200 is an abundant number, since it is smaller than the sum of its proper divisors (118885224).

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

48121200 is a wasteful number, since it uses less digits than its factorization.

48121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13391 (or 13377 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 48121200 is about 6936.9445723604. The cubic root of 48121200 is about 363.7297434428.

Adding to 48121200 its reverse (212184), we get a palindrome (48333384).

The spelling of 48121200 in words is "forty-eight million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 13367 26734 40101 53468 66835 80202 106936 120303 133670 160404 200505 213872 240606 267340 320808 334175 401010 481212 534680 601515 641616 668350 802020 962424 1002525 1069360 1203030 1336700 1604040 1924848 2005050 2406060 2673400 3007575 3208080 4010100 4812120 5346800 6015150 8020200 9624240 12030300 16040400 24060600 48121200