Search a number
-
+
53399136 = 2537229347
BaseRepresentation
bin1100101110110…
…0111001100000
310201110221211210
43023230321200
5102132233021
65144310120
71215612420
oct313547140
9121427753
1053399136
112816261a
1215a72340
13b0a862b
147140480
154a4be76
hex32ece60

53399136 has 96 divisors (see below), whose sum is σ = 161360640. Its totient is φ = 15146496.

The previous prime is 53399131. The next prime is 53399141. The reversal of 53399136 is 63199335.

53399136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53399131) and next prime (53399141).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53399094 and 53399103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53399131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 153715 + ... + 154061.

It is an arithmetic number, because the mean of its divisors is an integer number (1680840).

Almost surely, 253399136 is an apocalyptic number.

53399136 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 53399136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80680320).

53399136 is an abundant number, since it is smaller than the sum of its proper divisors (107961504).

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

53399136 is a wasteful number, since it uses less digits than its factorization.

53399136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its digits is 65610, while the sum is 39.

The square root of 53399136 is about 7307.4712452394. The cubic root of 53399136 is about 376.5691546295.

It can be divided in two parts, 53399 and 136, that added together give a palindrome (53535).

The spelling of 53399136 in words is "fifty-three million, three hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 229 336 347 458 672 687 694 916 1041 1374 1388 1603 1832 2082 2429 2748 2776 3206 3664 4164 4809 4858 5496 5552 6412 7287 7328 8328 9618 9716 10992 11104 12824 14574 16656 19236 19432 21984 25648 29148 33312 38472 38864 51296 58296 76944 77728 79463 116592 153888 158926 233184 238389 317852 476778 556241 635704 953556 1112482 1271408 1668723 1907112 2224964 2542816 3337446 3814224 4449928 6674892 7628448 8899856 13349784 17799712 26699568 53399136