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48216312 = 23321275273
BaseRepresentation
bin1011011111101…
…1100011111000
310100201122100100
42313323203320
544320410222
64441235400
71123555224
oct267734370
9110648310
1048216312
11252426a1
1214192b60
139cb2581
146591784
1543764ac
hex2dfb8f8

48216312 has 48 divisors (see below), whose sum is σ = 131639040. Its totient is φ = 15942528.

The previous prime is 48216293. The next prime is 48216317. The reversal of 48216312 is 21361284.

48216312 is a `hidden beast` number, since 4 + 8 + 21 + 631 + 2 = 666.

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 (48216317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6508 + ... + 11780.

It is an arithmetic number, because the mean of its divisors is an integer number (2742480).

Almost surely, 248216312 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 48216312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65819520).

48216312 is an abundant number, since it is smaller than the sum of its proper divisors (83422728).

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

48216312 is a wasteful number, since it uses less digits than its factorization.

48216312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412 (or 5405 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 48216312 is about 6943.7966560089. The cubic root of 48216312 is about 363.9692241420.

Adding to 48216312 its reverse (21361284), we get a palindrome (69577596).

The spelling of 48216312 in words is "forty-eight million, two hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 5273 9144 10546 15819 21092 31638 42184 47457 63276 94914 126552 189828 379656 669671 1339342 2009013 2678684 4018026 5357368 6027039 8036052 12054078 16072104 24108156 48216312