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48282312 = 23313179103
BaseRepresentation
bin1011100000101…
…1101011001000
310100211222212210
42320023223020
544330013222
64442505120
71124251521
oct270135310
9110758783
1048282312
1125288241
12142051a0
13a006620
1465ab848
15438ad0c
hex2e0bac8

48282312 has 64 divisors (see below), whose sum is σ = 137652480. Its totient is φ = 13980672.

The previous prime is 48282307. The next prime is 48282337. The reversal of 48282312 is 21328284.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48282312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753 + ... + 9855.

It is an arithmetic number, because the mean of its divisors is an integer number (2150820).

Almost surely, 248282312 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 48282312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68826240).

48282312 is an abundant number, since it is smaller than the sum of its proper divisors (89370168).

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

48282312 is a wasteful number, since it uses less digits than its factorization.

48282312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9142 (or 9138 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 48282312 is about 6948.5474741128. The cubic root of 48282312 is about 364.1352192547.

It can be divided in two parts, 4828 and 2312, that added together give a triangular number (7140 = T119).

The spelling of 48282312 in words is "forty-eight million, two hundred eighty-two thousand, three hundred twelve".

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 9103 18206 27309 36412 54618 72824 109236 118339 154751 218472 236678 309502 355017 464253 473356 619004 710034 928506 946712 1238008 1420068 1857012 2011763 2840136 3714024 4023526 6035289 8047052 12070578 16094104 24141156 48282312