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53513136 = 2434157263
BaseRepresentation
bin1100110000100…
…0101110110000
310201200202020000
43030020232300
5102144410021
65150550000
71216565655
oct314105660
9121622200
1053513136
1128230236
1215b08300
13b1184a1
14716dc2c
154a70b26
hex3308bb0

53513136 has 100 divisors (see below), whose sum is σ = 156461712. Its totient is φ = 17656704.

The previous prime is 53513081. The next prime is 53513153. The reversal of 53513136 is 63131535.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 203341 + ... + 203603.

Almost surely, 253513136 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 53513136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78230856).

53513136 is an abundant number, since it is smaller than the sum of its proper divisors (102948576).

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

53513136 is a wasteful number, since it uses less digits than its factorization.

53513136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 425 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 53513136 is about 7315.2673225249. The cubic root of 53513136 is about 376.8369390538.

The spelling of 53513136 in words is "fifty-three million, five hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 157 162 216 263 314 324 432 471 526 628 648 789 942 1052 1256 1296 1413 1578 1884 2104 2367 2512 2826 3156 3768 4208 4239 4734 5652 6312 7101 7536 8478 9468 11304 12624 12717 14202 16956 18936 21303 22608 25434 28404 33912 37872 41291 42606 50868 56808 67824 82582 85212 101736 113616 123873 165164 170424 203472 247746 330328 340848 371619 495492 660656 743238 990984 1114857 1486476 1981968 2229714 2972952 3344571 4459428 5945904 6689142 8918856 13378284 17837712 26756568 53513136