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53827236 = 223217281313
BaseRepresentation
bin1100110101010…
…1011010100100
310202021201002100
43031111122210
5102234432421
65201412100
71222344501
oct315253244
9122251070
1053827236
1128425221
121603a030
13b1c8448
1472124a8
154ad3c26
hex33556a4

53827236 has 72 divisors (see below), whose sum is σ = 145041624. Its totient is φ = 16773120.

The previous prime is 53827217. The next prime is 53827283. The reversal of 53827236 is 63272835.

53827236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4040100 + 49787136 = 2010^2 + 7056^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53827236.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171816 + ... + 172128.

It is an arithmetic number, because the mean of its divisors is an integer number (2014467).

Almost surely, 253827236 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 53827236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72520812).

53827236 is an abundant number, since it is smaller than the sum of its proper divisors (91214388).

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

53827236 is a wasteful number, since it uses less digits than its factorization.

53827236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 616 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 53827236 is about 7336.7047098817. The cubic root of 53827236 is about 377.5727935877.

The spelling of 53827236 in words is "fifty-three million, eight hundred twenty-seven thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 281 306 313 562 612 626 843 939 1124 1252 1686 1878 2529 2817 3372 3756 4777 5058 5321 5634 9554 10116 10642 11268 14331 15963 19108 21284 28662 31926 42993 47889 57324 63852 85986 87953 95778 171972 175906 191556 263859 351812 527718 791577 1055436 1495201 1583154 2990402 3166308 4485603 5980804 8971206 13456809 17942412 26913618 53827236