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48534144 = 273971303
BaseRepresentation
bin1011100100100…
…1001010000000
310101022210022220
42321021022000
544411043034
64452131040
71126350651
oct271111200
9111283286
1048534144
112543a46a
1214306a80
13a094139
146635528
1543da749
hex2e49280

48534144 has 64 divisors (see below), whose sum is σ = 130347840. Its totient is φ = 15998976.

The previous prime is 48534131. The next prime is 48534173. The reversal of 48534144 is 44143584.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36597 + ... + 37899.

It is an arithmetic number, because the mean of its divisors is an integer number (2036685).

Almost surely, 248534144 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 48534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65173920).

48534144 is an abundant number, since it is smaller than the sum of its proper divisors (81813696).

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

48534144 is a wasteful number, since it uses less digits than its factorization.

48534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1405 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 48534144 is about 6966.6451036349. The cubic root of 48534144 is about 364.7672100414.

It can be divided in two parts, 48534 and 144, that multiplied together give a palindrome (6988896).

The spelling of 48534144 in words is "forty-eight million, five hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 776 1164 1303 1552 2328 2606 3104 3909 4656 5212 6208 7818 9312 10424 12416 15636 18624 20848 31272 37248 41696 62544 83392 125088 126391 166784 250176 252782 379173 500352 505564 758346 1011128 1516692 2022256 3033384 4044512 6066768 8089024 12133536 16178048 24267072 48534144