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48276312 = 23371132543
BaseRepresentation
bin1011100000101…
…0001101011000
310100211200122120
42320022031120
544324320222
64442421240
71124225160
oct270121530
9110750576
1048276312
1125283787
1214201820
13a003986
1465a95a0
15438915c
hex2e0a358

48276312 has 64 divisors (see below), whose sum is σ = 139207680. Its totient is φ = 13665792.

The previous prime is 48276307. The next prime is 48276313. The reversal of 48276312 is 21367284.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48276313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17713 + ... + 20255.

It is an arithmetic number, because the mean of its divisors is an integer number (2175120).

Almost surely, 248276312 is an apocalyptic number.

48276312 is a gapful number since it is divisible by the number (42) 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 48276312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69603840).

48276312 is an abundant number, since it is smaller than the sum of its proper divisors (90931368).

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

48276312 is a wasteful number, since it uses less digits than its factorization.

48276312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2668 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 48276312 is about 6948.1157157894. The cubic root of 48276312 is about 364.1201350432.

The spelling of 48276312 in words is "forty-eight million, two hundred seventy-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1356 1582 2373 2543 2712 3164 4746 5086 6328 7629 9492 10172 15258 17801 18984 20344 30516 35602 53403 61032 71204 106806 142408 213612 287359 427224 574718 862077 1149436 1724154 2011513 2298872 3448308 4023026 6034539 6896616 8046052 12069078 16092104 24138156 48276312