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48981200 = 2452122453
BaseRepresentation
bin1011101011011…
…0010011010000
310102011111120112
42322312103100
5100014344300
64505500452
71133222222
oct272662320
9112144515
1048981200
1125715334
12144a1728
13a1bc778
146710412
154477e35
hex2eb64d0

48981200 has 30 divisors (see below), whose sum is σ = 117678294. Its totient is φ = 19592320.

The previous prime is 48981197. The next prime is 48981211. The reversal of 48981200 is 218984.

It is a happy number.

48981200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2795584 + 46185616 = 1672^2 + 6796^2 .

It is a zygodrome in base 7.

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 5 ways as a sum of consecutive naturals, for example, 60827 + ... + 61626.

Almost surely, 248981200 is an apocalyptic number.

48981200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48981200 is an abundant number, since it is smaller than the sum of its proper divisors (68697094).

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

48981200 is a wasteful number, since it uses less digits than its factorization.

48981200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122471 (or 122460 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 48981200 is about 6998.6570140278. The cubic root of 48981200 is about 365.8837657319.

The spelling of 48981200 in words is "forty-eight million, nine hundred eighty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 122453 244906 489812 612265 979624 1224530 1959248 2449060 3061325 4898120 6122650 9796240 12245300 24490600 48981200