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53827840 = 285113823
BaseRepresentation
bin1100110101010…
…1100100000000
310202021201220201
43031111210000
5102234442330
65201414544
71222346323
oct315254400
9122251821
1053827840
1128425720
121603a454
13b1c87c1
1472127ba
154ad3eca
hex3355900

53827840 has 72 divisors (see below), whose sum is σ = 140692608. Its totient is φ = 19568640.

The previous prime is 53827801. The next prime is 53827841. The reversal of 53827840 is 4872835.

It is a self number, because there is not a number n which added to its sum of digits gives 53827840.

It is not an unprimeable number, because it can be changed into a prime (53827841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12169 + ... + 15991.

It is an arithmetic number, because the mean of its divisors is an integer number (1954064).

Almost surely, 253827840 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 53827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70346304).

53827840 is an abundant number, since it is smaller than the sum of its proper divisors (86864768).

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

53827840 is a wasteful number, since it uses less digits than its factorization.

53827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 53827840 is about 7336.7458726604. The cubic root of 53827840 is about 377.5742058412.

The spelling of 53827840 in words is "fifty-three million, eight hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 3823 7040 7646 14080 15292 19115 30584 38230 42053 61168 76460 84106 122336 152920 168212 210265 244672 305840 336424 420530 489344 611680 672848 841060 978688 1223360 1345696 1682120 2446720 2691392 3364240 4893440 5382784 6728480 10765568 13456960 26913920 53827840