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48450528 = 253378011
BaseRepresentation
bin1011100011010…
…0101111100000
310101011112122000
42320310233200
544400404103
64450244000
71125552120
oct270645740
9111145560
1048450528
1125392665
1214286600
13a065069
146612c80
1543c0aa3
hex2e34be0

48450528 has 96 divisors (see below), whose sum is σ = 161521920. Its totient is φ = 13841280.

The previous prime is 48450511. The next prime is 48450529. The reversal of 48450528 is 82505484.

48450528 is a `hidden beast` number, since 4 + 84 + 50 + 528 = 666.

48450528 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 (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 48450492 and 48450501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48450529) by changing a digit.

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, 2043 + ... + 10053.

It is an arithmetic number, because the mean of its divisors is an integer number (1682520).

Almost surely, 248450528 is an apocalyptic number.

48450528 is a gapful number since it is divisible by the number (48) 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 48450528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80760960).

48450528 is an abundant number, since it is smaller than the sum of its proper divisors (113071392).

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

48450528 is a wasteful number, since it uses less digits than its factorization.

48450528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 48450528 is about 6960.6413497608. The cubic root of 48450528 is about 364.5576125296.

The spelling of 48450528 in words is "forty-eight million, four hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 8011 16022 24033 32044 48066 56077 64088 72099 96132 112154 128176 144198 168231 192264 216297 224308 256352 288396 336462 384528 432594 448616 504693 576792 672924 769056 865188 897232 1009386 1153584 1345848 1514079 1730376 1794464 2018772 2307168 2691696 3028158 3460752 4037544 5383392 6056316 6921504 8075088 12112632 16150176 24225264 48450528