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52428240 = 2432572817
BaseRepresentation
bin1100011111111…
…1110111010000
310122122122000200
43013333313100
5101410200430
65111415200
71204430004
oct307776720
9118578020
1052428240
112765a127
1215684500
13ab28737
146d6a704
154909460
hex31ffdd0

52428240 has 60 divisors (see below), whose sum is σ = 176073924. Its totient is φ = 13980672.

The previous prime is 52428227. The next prime is 52428241. The reversal of 52428240 is 4282425.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22353984 + 30074256 = 4728^2 + 5484^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52428241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35689 + ... + 37128.

Almost surely, 252428240 is an apocalyptic number.

It is an amenable number.

52428240 is an abundant number, since it is smaller than the sum of its proper divisors (123645684).

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

52428240 is a wasteful number, since it uses less digits than its factorization.

52428240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72836 (or 72827 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 52428240 is about 7240.7347693449. The cubic root of 52428240 is about 374.2729379263.

The spelling of 52428240 in words is "fifty-two million, four hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 72817 145634 218451 291268 364085 436902 582536 655353 728170 873804 1092255 1165072 1310706 1456340 1747608 2184510 2621412 2912680 3276765 3495216 4369020 5242824 5825360 6553530 8738040 10485648 13107060 17476080 26214120 52428240