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53453040 = 2435283787
BaseRepresentation
bin1100101111101…
…0000011110000
310201120200210020
43023322003300
5102140444130
65145403440
71216225524
oct313720360
9121520706
1053453040
112819a073
1215a99580
13b0c7024
147155d84
154a5ce10
hex32fa0f0

53453040 has 80 divisors (see below), whose sum is σ = 166501248. Its totient is φ = 14185728.

The previous prime is 53453017. The next prime is 53453041. The reversal of 53453040 is 4035435.

It is a happy number.

53453040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53453040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53453041) 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, 67527 + ... + 68313.

Almost surely, 253453040 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 53453040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83250624).

53453040 is an abundant number, since it is smaller than the sum of its proper divisors (113048208).

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

53453040 is a wasteful number, since it uses less digits than its factorization.

53453040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 53453040 is about 7311.1585949150. The cubic root of 53453040 is about 376.6958218311.

Adding to 53453040 its reverse (4035435), we get a palindrome (57488475).

It can be divided in two parts, 5345 and 3040, that added together give a triangular number (8385 = T129).

The spelling of 53453040 in words is "fifty-three million, four hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 283 566 787 849 1132 1415 1574 1698 2264 2361 2830 3148 3396 3935 4245 4528 4722 5660 6296 6792 7870 8490 9444 11320 11805 12592 13584 15740 16980 18888 22640 23610 31480 33960 37776 47220 62960 67920 94440 188880 222721 445442 668163 890884 1113605 1336326 1781768 2227210 2672652 3340815 3563536 4454420 5345304 6681630 8908840 10690608 13363260 17817680 26726520 53453040