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54448240 = 2457118839
BaseRepresentation
bin1100111110110…
…1000001110000
310210110020221111
43033231001300
5102414320430
65223003104
71230542140
oct317550160
9123406844
1054448240
1128809850
1216299494
13b384cc2
147334920
154ba7c2a
hex33ed070

54448240 has 80 divisors (see below), whose sum is σ = 157847040. Its totient is φ = 16968960.

The previous prime is 54448213. The next prime is 54448253. The reversal of 54448240 is 4284445.

54448240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×544482402 = 5929221678195200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1741 + ... + 10579.

It is an arithmetic number, because the mean of its divisors is an integer number (1973088).

Almost surely, 254448240 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 54448240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78923520).

54448240 is an abundant number, since it is smaller than the sum of its proper divisors (103398800).

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

54448240 is a wasteful number, since it uses less digits than its factorization.

54448240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870 (or 8864 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

The square root of 54448240 is about 7378.9050678268. The cubic root of 54448240 is about 379.0192623233.

It can be divided in two parts, 544 and 48240, that added together give a palindrome (48784).

The spelling of 54448240 in words is "fifty-four million, four hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 8839 17678 35356 44195 61873 70712 88390 97229 123746 141424 176780 194458 247492 309365 353560 388916 486145 494984 618730 680603 707120 777832 972290 989968 1237460 1361206 1555664 1944580 2474920 2722412 3403015 3889160 4949840 5444824 6806030 7778320 10889648 13612060 27224120 54448240