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48504800 = 255260631
BaseRepresentation
bin1011100100000…
…1111111100000
310101021022002002
42321001333200
544404123200
64451343132
71126166261
oct271017740
9111238062
1048504800
112541a413
12142b1aa8
13a083986
146628968
1543d1bd5
hex2e41fe0

48504800 has 36 divisors (see below), whose sum is σ = 118414296. Its totient is φ = 19401600.

The previous prime is 48504779. The next prime is 48504803. The reversal of 48504800 is 840584.

48504800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48504803) 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 5 ways as a sum of consecutive naturals, for example, 29516 + ... + 31115.

It is an arithmetic number, because the mean of its divisors is an integer number (3289286).

Almost surely, 248504800 is an apocalyptic number.

48504800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48504800 is an abundant number, since it is smaller than the sum of its proper divisors (69909496).

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

48504800 is a wasteful number, since it uses less digits than its factorization.

48504800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60651 (or 60638 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 48504800 is about 6964.5387499819. The cubic root of 48504800 is about 364.6936818265.

The spelling of 48504800 in words is "forty-eight million, five hundred four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 60631 121262 242524 303155 485048 606310 970096 1212620 1515775 1940192 2425240 3031550 4850480 6063100 9700960 12126200 24252400 48504800