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53781880 = 23517139569
BaseRepresentation
bin1100110100101…
…0010101111000
310202012101212111
43031022111320
5102232010010
65200422104
71222065325
oct315122570
9122171774
1053781880
11283a4139
1216017934
13b1b08c9
1471ddb4c
154ac558a
hex334a578

53781880 has 64 divisors (see below), whose sum is σ = 129276000. Its totient is φ = 20066304.

The previous prime is 53781853. The next prime is 53781883. The reversal of 53781880 is 8818735.

53781880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53781883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94236 + ... + 94804.

Almost surely, 253781880 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 53781880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64638000).

53781880 is an abundant number, since it is smaller than the sum of its proper divisors (75494120).

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

53781880 is a wasteful number, since it uses less digits than its factorization.

53781880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 53781880 is about 7333.6130249693. The cubic root of 53781880 is about 377.4667134371.

The spelling of 53781880 in words is "fifty-three million, seven hundred eighty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 139 170 278 340 556 569 680 695 1112 1138 1390 2276 2363 2780 2845 4552 4726 5560 5690 9452 9673 11380 11815 18904 19346 22760 23630 38692 47260 48365 77384 79091 94520 96730 158182 193460 316364 386920 395455 632728 790910 1344547 1581820 2689094 3163640 5378188 6722735 10756376 13445470 26890940 53781880