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48491520 = 2103571141
BaseRepresentation
bin1011100011111…
…0110000000000
310101020121212020
42320332300000
544403212040
64451201440
71126112460
oct270766000
9111217766
1048491520
1125410440
12142a6280
13a07a90c
146623ba0
1543cccd0
hex2e3ec00

48491520 has 352 divisors, whose sum is σ = 198084096. Its totient is φ = 9830400.

The previous prime is 48491519. The next prime is 48491537. The reversal of 48491520 is 2519484.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182700 + ... + 1182740.

Almost surely, 248491520 is an apocalyptic number.

48491520 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 48491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99042048).

48491520 is an abundant number, since it is smaller than the sum of its proper divisors (149592576).

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

48491520 is a wasteful number, since it uses less digits than its factorization.

48491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 48491520 is about 6963.5852834585. The cubic root of 48491520 is about 364.6603959513.

The spelling of 48491520 in words is "forty-eight million, four hundred ninety-one thousand, five hundred twenty".