Search a number
-
+
53231400 = 23325229573
BaseRepresentation
bin1100101100001…
…1111100101000
310201011102202100
43023003330220
5102111401100
65140533400
71214313405
oct313037450
9121142670
1053231400
11280585a2
12159b1260
13b04a191
1470d92ac
154a17400
hex32c3f28

53231400 has 72 divisors (see below), whose sum is σ = 178774830. Its totient is φ = 14194560.

The previous prime is 53231383. The next prime is 53231441. The reversal of 53231400 is 413235.

53231400 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 3 ways, for example, as 28965924 + 24265476 = 5382^2 + 4926^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 12987 + ... + 16586.

Almost surely, 253231400 is an apocalyptic number.

53231400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53231400 is an abundant number, since it is smaller than the sum of its proper divisors (125543430).

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

53231400 is a wasteful number, since it uses less digits than its factorization.

53231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29595 (or 29583 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53231400 is about 7295.9851973534. The cubic root of 53231400 is about 376.1744512647.

Adding to 53231400 its reverse (413235), we get a palindrome (53644635).

The spelling of 53231400 in words is "fifty-three million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 29573 59146 88719 118292 147865 177438 236584 266157 295730 354876 443595 532314 591460 709752 739325 887190 1064628 1182920 1330785 1478650 1774380 2129256 2217975 2661570 2957300 3548760 4435950 5323140 5914600 6653925 8871900 10646280 13307850 17743800 26615700 53231400