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54848868 = 22317313859
BaseRepresentation
bin1101000100111…
…0110101100100
310211012121111120
43101032311210
5103020130433
65235333540
71234131144
oct321166544
9124177446
1054848868
1128a62848
12164512b0
13b495469
1473da924
154c367b3
hex344ed64

54848868 has 48 divisors (see below), whose sum is σ = 136100160. Its totient is φ = 17132544.

The previous prime is 54848867. The next prime is 54848869. The reversal of 54848868 is 86884845.

54848868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54848867) and next prime (54848869).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 54848868.

It is not an unprimeable number, because it can be changed into a prime (54848861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63423 + ... + 64281.

It is an arithmetic number, because the mean of its divisors is an integer number (2835420).

Almost surely, 254848868 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 54848868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68050080).

54848868 is an abundant number, since it is smaller than the sum of its proper divisors (81251292).

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

54848868 is a wasteful number, since it uses less digits than its factorization.

54848868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1194 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 51.

The square root of 54848868 is about 7406.0021604102. The cubic root of 54848868 is about 379.9465945261.

The spelling of 54848868 in words is "fifty-four million, eight hundred forty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 313 626 859 939 1252 1718 1878 2577 3436 3756 5154 5321 10308 10642 14603 15963 21284 29206 31926 43809 58412 63852 87618 175236 268867 537734 806601 1075468 1613202 3226404 4570739 9141478 13712217 18282956 27424434 54848868