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53136384 = 210372353
BaseRepresentation
bin1100101010110…
…0110000000000
310200222121102020
43022230300000
5102100331014
65134521440
71213436400
oct312546000
9120877366
1053136384
1127aa3174
1215966280
13b015b62
1470b2800
1549e91a9
hex32acc00

53136384 has 132 divisors (see below), whose sum is σ = 165217464. Its totient is φ = 15138816.

The previous prime is 53136379. The next prime is 53136389. The reversal of 53136384 is 48363135.

It is an interprime number because it is at equal distance from previous prime (53136379) and next prime (53136389).

It is not an unprimeable number, because it can be changed into a prime (53136389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150352 + ... + 150704.

Almost surely, 253136384 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 53136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82608732).

53136384 is an abundant number, since it is smaller than the sum of its proper divisors (112081080).

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

53136384 is a wasteful number, since it uses less digits than its factorization.

53136384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 365 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 53136384 is about 7289.4707626823. The cubic root of 53136384 is about 375.9504989912.

The spelling of 53136384 in words is "fifty-three million, one hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 353 384 392 448 512 588 672 706 768 784 896 1024 1059 1176 1344 1412 1536 1568 1792 2118 2352 2471 2688 2824 3072 3136 3584 4236 4704 4942 5376 5648 6272 7168 7413 8472 9408 9884 10752 11296 12544 14826 16944 17297 18816 19768 21504 22592 25088 29652 33888 34594 37632 39536 45184 50176 51891 59304 67776 69188 75264 79072 90368 103782 118608 135552 138376 150528 158144 180736 207564 237216 271104 276752 316288 361472 415128 474432 542208 553504 632576 830256 948864 1084416 1107008 1265152 1660512 1897728 2214016 2530304 3321024 3795456 4428032 6642048 7590912 8856064 13284096 17712128 26568192 53136384