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53838036 = 223272953139
BaseRepresentation
bin1100110101100…
…0000011010100
310202022020220100
43031120003110
5102240304121
65201534100
71222421130
oct315300324
9122266810
1053838036
112843234a
1216044330
13b200335
1472163c0
154ad7026
hex33580d4

53838036 has 144 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 14466816.

The previous prime is 53838017. The next prime is 53838049. The reversal of 53838036 is 63083835.

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 47 ways as a sum of consecutive naturals, for example, 387255 + ... + 387393.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 253838036 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 53838036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

53838036 is an abundant number, since it is smaller than the sum of its proper divisors (111272364).

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

53838036 is a wasteful number, since it uses less digits than its factorization.

53838036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 53838036 is about 7337.4406982271. The cubic root of 53838036 is about 377.5980442091.

The spelling of 53838036 in words is "fifty-three million, eight hundred thirty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 53 58 63 84 87 106 116 126 139 159 174 203 212 252 261 278 318 348 371 406 417 477 522 556 609 636 742 812 834 954 973 1044 1113 1218 1251 1484 1537 1668 1827 1908 1946 2226 2436 2502 2919 3074 3339 3654 3892 4031 4452 4611 5004 5838 6148 6678 7308 7367 8062 8757 9222 10759 11676 12093 13356 13833 14734 16124 17514 18444 21518 22101 24186 27666 28217 29468 32277 35028 36279 43036 44202 48372 51569 55332 56434 64554 66303 72558 84651 88404 96831 103138 112868 129108 132606 145116 154707 169302 193662 206276 213643 253953 265212 309414 338604 387324 427286 464121 507906 618828 640929 854572 928242 1015812 1281858 1495501 1856484 1922787 2563716 2991002 3845574 4486503 5982004 7691148 8973006 13459509 17946012 26919018 53838036