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54253440 = 273259419
BaseRepresentation
bin1100111011110…
…1011110000000
310210002100201200
43032331132000
5102342102230
65214501200
71226101203
oct316753600
9123070650
1054253440
112869645a
1216204800
13b317437
1472c393a
154b6a160
hex33bd780

54253440 has 96 divisors (see below), whose sum is σ = 187363800. Its totient is φ = 14466048.

The previous prime is 54253439. The next prime is 54253453. The reversal of 54253440 is 4435245.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1051 + ... + 10469.

Almost surely, 254253440 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 54253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93681900).

54253440 is an abundant number, since it is smaller than the sum of its proper divisors (133110360).

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

54253440 is a wasteful number, since it uses less digits than its factorization.

54253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9444 (or 9429 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 54253440 is about 7365.6934500426. The cubic root of 54253440 is about 378.5667152272.

Adding to 54253440 its reverse (4435245), we get a palindrome (58688685).

The spelling of 54253440 in words is "fifty-four million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 9419 18838 28257 37676 47095 56514 75352 84771 94190 113028 141285 150704 169542 188380 226056 282570 301408 339084 376760 423855 452112 565140 602816 678168 753520 847710 904224 1130280 1205632 1356336 1507040 1695420 1808448 2260560 2712672 3014080 3390840 3616896 4521120 5425344 6028160 6781680 9042240 10850688 13563360 18084480 27126720 54253440