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54460648 = 23112127443
BaseRepresentation
bin1100111111000…
…0000011101000
310210110212222001
43033300003220
5102420220043
65223140344
71230623254
oct317600350
9123425861
1054460648
1128818100
12162a46b4
13b38a848
147339264
154bab74d
hex33f00e8

54460648 has 48 divisors (see below), whose sum is σ = 113379840. Its totient is φ = 24504480.

The previous prime is 54460643. The next prime is 54460649. The reversal of 54460648 is 84606445.

It is not an unprimeable number, because it can be changed into a prime (54460643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122715 + ... + 123157.

It is an arithmetic number, because the mean of its divisors is an integer number (2362080).

Almost surely, 254460648 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 54460648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56689920).

54460648 is an abundant number, since it is smaller than the sum of its proper divisors (58919192).

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

54460648 is a wasteful number, since it uses less digits than its factorization.

54460648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 54460648 is about 7379.7457950799. The cubic root of 54460648 is about 379.0480512171.

The spelling of 54460648 in words is "fifty-four million, four hundred sixty thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 127 242 254 443 484 508 886 968 1016 1397 1772 2794 3544 4873 5588 9746 11176 15367 19492 30734 38984 53603 56261 61468 107206 112522 122936 214412 225044 428824 450088 618871 1237742 2475484 4950968 6807581 13615162 27230324 54460648