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54823680 = 283254759
BaseRepresentation
bin1101000100100…
…0101100000000
310211011022221200
43101020230000
5103013324210
65235021200
71233664542
oct321105400
9124138850
1054823680
1128a4592a
121643a800
13b486b62
1473d1692
154c2e0c0
hex3448b00

54823680 has 108 divisors (see below), whose sum is σ = 189724080. Its totient is φ = 14616576.

The previous prime is 54823679. The next prime is 54823687. The reversal of 54823680 is 8632845.

54823680 is a `hidden beast` number, since 548 + 2 + 36 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54823687) 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, 9141 + ... + 13899.

Almost surely, 254823680 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 54823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94862040).

54823680 is an abundant number, since it is smaller than the sum of its proper divisors (134900400).

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

54823680 is a wasteful number, since it uses less digits than its factorization.

54823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 54823680 is about 7404.3014525342. The cubic root of 54823680 is about 379.8884252299. Note that the first 3 decimals are identical.

The spelling of 54823680 in words is "fifty-four million, eight hundred twenty-three thousand, six hundred eighty".

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 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 4759 5760 9518 11520 14277 19036 23795 28554 38072 42831 47590 57108 71385 76144 85662 95180 114216 142770 152288 171324 190360 214155 228432 285540 304576 342648 380720 428310 456864 571080 609152 685296 761440 856620 913728 1142160 1218304 1370592 1522880 1713240 1827456 2284320 2741184 3045760 3426480 3654912 4568640 5482368 6091520 6852960 9137280 10964736 13705920 18274560 27411840 54823680