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48147840 = 2732513643
BaseRepresentation
bin1011011110101…
…0110110000000
310100121011102100
42313222312000
544311212330
64435550400
71123151466
oct267526600
9110534370
1048147840
11251a6204
121415b400
139c8a360
146574836
154361060
hex2dead80

48147840 has 192 divisors, whose sum is σ = 179328240. Its totient is φ = 11833344.

The previous prime is 48147839. The next prime is 48147857. The reversal of 48147840 is 4874184.

It is a happy number.

48147840 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48147795 and 48147804.

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 23 ways as a sum of consecutive naturals, for example, 74559 + ... + 75201.

Almost surely, 248147840 is an apocalyptic number.

48147840 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 48147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89664120).

48147840 is an abundant number, since it is smaller than the sum of its proper divisors (131180400).

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

48147840 is a wasteful number, since it uses less digits than its factorization.

48147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 48147840 is about 6938.8644604143. The cubic root of 48147840 is about 363.7968515838.

The spelling of 48147840 in words is "forty-eight million, one hundred forty-seven thousand, eight hundred forty".