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53323440 = 2435435167
BaseRepresentation
bin1100101101101…
…0011010110000
310201100010000020
43023122122300
5102122322230
65142523440
71215145632
oct313323260
9121303006
1053323440
1128110765
1215a36580
13b080041
147120a52
154a34810
hex32da6b0

53323440 has 80 divisors (see below), whose sum is σ = 169179648. Its totient is φ = 13886208.

The previous prime is 53323423. The next prime is 53323447. The reversal of 53323440 is 4432335.

53323440 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 53323440.

It is not an unprimeable number, because it can be changed into a prime (53323447) 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, 7737 + ... + 12903.

Almost surely, 253323440 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 53323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84589824).

53323440 is an abundant number, since it is smaller than the sum of its proper divisors (115856208).

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

53323440 is a wasteful number, since it uses less digits than its factorization.

53323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 53323440 is about 7302.2900517577. The cubic root of 53323440 is about 376.3911351553.

Adding to 53323440 its reverse (4432335), we get a palindrome (57755775).

The spelling of 53323440 in words is "fifty-three million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 5167 10320 10334 15501 20668 25835 31002 41336 51670 62004 77505 82672 103340 124008 155010 206680 222181 248016 310020 413360 444362 620040 666543 888724 1110905 1240080 1333086 1777448 2221810 2666172 3332715 3554896 4443620 5332344 6665430 8887240 10664688 13330860 17774480 26661720 53323440