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48376384 = 267831301
BaseRepresentation
bin1011100010001…
…0101001000000
310101000202220221
42320202221000
544341021014
64444512424
71125123010
oct270425100
9111022827
1048376384
1125341991
121424b714
13a03a3a4
1465d3c40
1543a8b24
hex2e22a40

48376384 has 56 divisors (see below), whose sum is σ = 111117888. Its totient is φ = 20467200.

The previous prime is 48376381. The next prime is 48376387. The reversal of 48376384 is 48367384.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48376381) and next prime (48376387).

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 48376384.

It is not an unprimeable number, because it can be changed into a prime (48376381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36534 + ... + 37834.

It is an arithmetic number, because the mean of its divisors is an integer number (1984248).

Almost surely, 248376384 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 48376384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55558944).

48376384 is an abundant number, since it is smaller than the sum of its proper divisors (62741504).

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

48376384 is a wasteful number, since it uses less digits than its factorization.

48376384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1393 counting only the distinct ones).

The product of its digits is 387072, while the sum is 43.

The square root of 48376384 is about 6955.3133646156. The cubic root of 48376384 is about 364.3715563579.

It can be divided in two parts, 483 and 76384, that added together give a palindrome (76867).

The spelling of 48376384 in words is "forty-eight million, three hundred seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1162 1301 1328 2324 2602 2656 4648 5204 5312 9107 9296 10408 18214 18592 20816 36428 37184 41632 72856 83264 107983 145712 215966 291424 431932 582848 755881 863864 1511762 1727728 3023524 3455456 6047048 6910912 12094096 24188192 48376384