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48727848 = 23313179187
BaseRepresentation
bin1011100111100…
…0011100101000
310101200122001010
42321320130220
544433242343
64500223520
71131115461
oct271703450
9111618033
1048727848
1125561a54
121439aba0
13a131360
146685d68
154427d33
hex2e78728

48727848 has 64 divisors (see below), whose sum is σ = 138922560. Its totient is φ = 14109696.

The previous prime is 48727813. The next prime is 48727867. The reversal of 48727848 is 84872784.

It is a happy number.

48727848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×487278482 = 4748806341422208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48727797 and 48727806.

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 15 ways as a sum of consecutive naturals, for example, 711 + ... + 9897.

It is an arithmetic number, because the mean of its divisors is an integer number (2170665).

Almost surely, 248727848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48727848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69461280).

48727848 is an abundant number, since it is smaller than the sum of its proper divisors (90194712).

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

48727848 is a wasteful number, since it uses less digits than its factorization.

48727848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9226 (or 9222 counting only the distinct ones).

The product of its digits is 802816, while the sum is 48.

The square root of 48727848 is about 6980.5335039666. The cubic root of 48727848 is about 365.2518384594.

It can be divided in two parts, 4872 and 7848, that added together give a triangular number (12720 = T159).

The spelling of 48727848 in words is "forty-eight million, seven hundred twenty-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 9187 18374 27561 36748 55122 73496 110244 119431 156179 220488 238862 312358 358293 468537 477724 624716 716586 937074 955448 1249432 1433172 1874148 2030327 2866344 3748296 4060654 6090981 8121308 12181962 16242616 24363924 48727848