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53609136 = 2437223991
BaseRepresentation
bin1100110010000…
…0001010110000
310201212121220120
43030200022300
5102210443021
65153010240
71220445600
oct314401260
9121777816
1053609136
1128296379
1215b53980
13b1500a9
147196c00
154a8e2c6
hex33202b0

53609136 has 120 divisors (see below), whose sum is σ = 168274944. Its totient is φ = 14636160.

The previous prime is 53609117. The next prime is 53609167. The reversal of 53609136 is 63190635.

It is a junction number, because it is equal to n+sod(n) for n = 53609097 and 53609106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53601 + ... + 54591.

Almost surely, 253609136 is an apocalyptic number.

53609136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53609136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84137472).

53609136 is an abundant number, since it is smaller than the sum of its proper divisors (114665808).

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

53609136 is a wasteful number, since it uses less digits than its factorization.

53609136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 53609136 is about 7321.8260017567. The cubic root of 53609136 is about 377.0621469031.

The spelling of 53609136 in words is "fifty-three million, six hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 966 991 1104 1127 1176 1288 1932 1982 2254 2352 2576 2973 3381 3864 3964 4508 5946 6762 6937 7728 7928 9016 11892 13524 13874 15856 18032 20811 22793 23784 27048 27748 41622 45586 47568 48559 54096 55496 68379 83244 91172 97118 110992 136758 145677 159551 166488 182344 194236 273516 291354 319102 332976 364688 388472 478653 547032 582708 638204 776944 957306 1094064 1116857 1165416 1276408 1914612 2233714 2330832 2552816 3350571 3829224 4467428 6701142 7658448 8934856 13402284 17869712 26804568 53609136