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53291420 = 22572134789
BaseRepresentation
bin1100101101001…
…0100110011100
310201021111002022
43023102212130
5102120311140
65142115312
71214653400
oct313224634
9121244068
1053291420
11280996a6
1215a1bb38
13b06b5b0
147113100
154a2a0b5
hex32d299c

53291420 has 144 divisors (see below), whose sum is σ = 144789120. Its totient is φ = 16321536.

The previous prime is 53291417. The next prime is 53291453. The reversal of 53291420 is 2419235.

53291420 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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 53291420.

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 47 ways as a sum of consecutive naturals, for example, 598736 + ... + 598824.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 253291420 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 53291420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

53291420 is an abundant number, since it is smaller than the sum of its proper divisors (91497700).

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

53291420 is a wasteful number, since it uses less digits than its factorization.

53291420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 53291420 is about 7300.0972596261. The cubic root of 53291420 is about 376.3157808189.

The spelling of 53291420 in words is "fifty-three million, two hundred ninety-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 47 49 52 65 70 89 91 94 98 130 140 178 182 188 196 235 245 260 329 356 364 445 455 470 490 611 623 637 658 890 910 940 980 1157 1222 1246 1274 1316 1645 1780 1820 2303 2314 2444 2492 2548 3055 3115 3185 3290 4183 4277 4361 4606 4628 5785 6110 6230 6370 6580 8099 8366 8554 8722 9212 11515 11570 12220 12460 12740 16198 16732 17108 17444 20915 21385 21805 23030 23140 29281 29939 32396 40495 41830 42770 43610 46060 54379 56693 58562 59878 80990 83660 85540 87220 108758 113386 117124 119756 146405 149695 161980 204967 217516 226772 271895 283465 292810 299390 380653 409934 543790 566930 585620 598780 761306 819868 1024835 1087580 1133860 1522612 1903265 2049670 2664571 3806530 4099340 5329142 7613060 10658284 13322855 26645710 53291420