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54485760 = 283572027
BaseRepresentation
bin1100111111011…
…0001100000000
310210112011102010
43033312030000
5102422021020
65223452520
71231056420
oct317661400
9123464363
1054485760
1128834a5a
12162b7140
13b3990c4
147344480
154bb3de0
hex33f6300

54485760 has 144 divisors (see below), whose sum is σ = 198971136. Its totient is φ = 12447744.

The previous prime is 54485713. The next prime is 54485797. The reversal of 54485760 is 6758445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25867 + ... + 27893.

It is an arithmetic number, because the mean of its divisors is an integer number (1381744).

Almost surely, 254485760 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 54485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99485568).

54485760 is an abundant number, since it is smaller than the sum of its proper divisors (144485376).

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

54485760 is a wasteful number, since it uses less digits than its factorization.

54485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 54485760 is about 7381.4470126121. The cubic root of 54485760 is about 379.1063024031.

The spelling of 54485760 in words is "fifty-four million, four hundred eighty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2027 2240 2688 3360 3840 4054 4480 5376 6081 6720 8108 8960 10135 12162 13440 14189 16216 20270 24324 26880 28378 30405 32432 40540 42567 48648 56756 60810 64864 70945 81080 85134 97296 113512 121620 129728 141890 162160 170268 194592 212835 227024 243240 259456 283780 324320 340536 389184 425670 454048 486480 518912 567560 648640 681072 778368 851340 908096 972960 1135120 1297280 1362144 1556736 1702680 1816192 1945920 2270240 2594560 2724288 3405360 3632384 3891840 4540480 5448576 6810720 7783680 9080960 10897152 13621440 18161920 27242880 54485760