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53704980 = 22325726089
BaseRepresentation
bin1100110011011…
…1100100010100
310202001111101100
43030313210110
5102222024410
65155030100
71221325200
oct314674424
9122044340
1053704980
112835138a
1215b9b330
13b1848c4
1471bdb00
154aac8c0
hex3337914

53704980 has 108 divisors (see below), whose sum is σ = 189532980. Its totient is φ = 12273408.

The previous prime is 53704939. The next prime is 53704997. The reversal of 53704980 is 8940735.

53704980 is a `hidden beast` number, since 537 + 0 + 49 + 80 = 666.

53704980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15586704 + 38118276 = 3948^2 + 6174^2 .

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5776 + ... + 11864.

It is an arithmetic number, because the mean of its divisors is an integer number (1754935).

Almost surely, 253704980 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 53704980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94766490).

53704980 is an abundant number, since it is smaller than the sum of its proper divisors (135828000).

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

53704980 is a wasteful number, since it uses less digits than its factorization.

53704980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53704980 is about 7328.3681676073. The cubic root of 53704980 is about 377.2867207450.

The spelling of 53704980 in words is "fifty-three million, seven hundred four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 6089 8820 12178 18267 24356 30445 36534 42623 54801 60890 73068 85246 91335 109602 121780 127869 170492 182670 213115 219204 255738 274005 298361 365340 383607 426230 511476 548010 596722 639345 767214 852460 895083 1096020 1193444 1278690 1491805 1534428 1790166 1918035 2557380 2685249 2983610 3580332 3836070 4475415 5370498 5967220 7672140 8950830 10740996 13426245 17901660 26852490 53704980