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53285148 = 22337210069
BaseRepresentation
bin1100101101000…
…1000100011100
310201021011111000
43023101010130
5102120111043
65142030300
71214626200
oct313210434
9121234430
1053285148
1128094a14
1215a18390
13b068797
147110b00
154a282d3
hex32d111c

53285148 has 72 divisors (see below), whose sum is σ = 160717200. Its totient is φ = 15222816.

The previous prime is 53285137. The next prime is 53285159. The reversal of 53285148 is 84158235.

It is a happy number.

53285148 is a `hidden beast` number, since 532 + 85 + 1 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (53285137) and next prime (53285159).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258 + ... + 10326.

Almost surely, 253285148 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 53285148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80358600).

53285148 is an abundant number, since it is smaller than the sum of its proper divisors (107432052).

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

53285148 is a wasteful number, since it uses less digits than its factorization.

53285148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10096 (or 10081 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 53285148 is about 7299.6676636680. The cubic root of 53285148 is about 376.3010170590.

The spelling of 53285148 in words is "fifty-three million, two hundred eighty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 10069 20138 30207 40276 60414 70483 90621 120828 140966 181242 211449 271863 281932 362484 422898 493381 543726 634347 845796 986762 1087452 1268694 1480143 1903041 1973524 2537388 2960286 3806082 4440429 5920572 7612164 8880858 13321287 17761716 26642574 53285148