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48227872284 = 2233799416007
BaseRepresentation
bin101100111010100110…
…101110111000011100
311121111002020202102000
4230322212232320130
51242232313403114
634053334402300
73325063102434
oct547246567034
9147432222360
1048227872284
11194a9416299
12941b500390
13471788b347
1424972312c4
1513c3ee4e09
hexb3a9aee1c

48227872284 has 96 divisors (see below), whose sum is σ = 126773606400. Its totient is φ = 15852957120.

The previous prime is 48227872211. The next prime is 48227872289.

It is a happy number.

48227872284 is a `hidden beast` number, since 482 + 2 + 7 + 87 + 2 + 2 + 84 = 666.

48227872284 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48227872284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48227872289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8025609 + ... + 8031615.

It is an arithmetic number, because the mean of its divisors is an integer number (1320558400).

Almost surely, 248227872284 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 48227872284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63386803200).

48227872284 is an abundant number, since it is smaller than the sum of its proper divisors (78545734116).

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

48227872284 is a wasteful number, since it uses less digits than its factorization.

48227872284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7040 (or 7032 counting only the distinct ones).

The product of its digits is 6422528, while the sum is 54.

The spelling of 48227872284 in words is "forty-eight billion, two hundred twenty-seven million, eight hundred seventy-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 941 948 1422 1882 2133 2823 2844 3764 4266 5646 6007 8469 8532 11292 12014 16938 18021 24028 25407 33876 36042 50814 54063 72084 74339 101628 108126 148678 162189 216252 223017 297356 324378 446034 474553 648756 669051 892068 949106 1338102 1423659 1898212 2007153 2676204 2847318 4014306 4270977 5652587 5694636 8028612 8541954 11305174 12812931 16957761 17083908 22610348 25625862 33915522 50873283 51251724 67831044 101746566 152619849 203493132 305239698 446554373 610479396 893108746 1339663119 1786217492 2679326238 4018989357 5358652476 8037978714 12056968071 16075957428 24113936142 48227872284