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54283760 = 2451971503
BaseRepresentation
bin1100111100010…
…0110111110000
310210010220022122
43033010313300
5102344040020
65215253412
71226255456
oct317046760
9123126278
1054283760
1128707213
121621a268
13b32818b
1472d09d6
154b74125
hex33c4df0

54283760 has 80 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 20240640.

The previous prime is 54283753. The next prime is 54283769. The reversal of 54283760 is 6738245.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54283760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54283769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107669 + ... + 108171.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 254283760 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 54283760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

54283760 is an abundant number, since it is smaller than the sum of its proper divisors (80707600).

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

54283760 is a wasteful number, since it uses less digits than its factorization.

54283760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 54283760 is about 7367.7513530249. The cubic root of 54283760 is about 378.6372238453.

The spelling of 54283760 in words is "fifty-four million, two hundred eighty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 71 76 80 95 142 152 190 284 304 355 380 503 568 710 760 1006 1136 1349 1420 1520 2012 2515 2698 2840 4024 5030 5396 5680 6745 8048 9557 10060 10792 13490 19114 20120 21584 26980 35713 38228 40240 47785 53960 71426 76456 95570 107920 142852 152912 178565 191140 285704 357130 382280 571408 678547 714260 764560 1357094 1428520 2714188 2857040 3392735 5428376 6785470 10856752 13570940 27141880 54283760