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52433024 = 277139421
BaseRepresentation
bin1100100000000…
…1000010000000
310122122212120212
43020001002000
5101410324044
65111453252
71204446650
oct310010200
9118585525
1052433024
1127662786
1215687228
13ab2a977
146d6c360
15490aa9e
hex3201080

52433024 has 64 divisors (see below), whose sum is σ = 120523200. Its totient is φ = 22256640.

The previous prime is 52433021. The next prime is 52433041. The reversal of 52433024 is 42033425.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (52433021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124334 + ... + 124754.

It is an arithmetic number, because the mean of its divisors is an integer number (1883175).

Almost surely, 252433024 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 52433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60261600).

52433024 is an abundant number, since it is smaller than the sum of its proper divisors (68090176).

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

52433024 is a wasteful number, since it uses less digits than its factorization.

52433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 52433024 is about 7241.0651150228. The cubic root of 52433024 is about 374.2843215323.

Adding to 52433024 its reverse (42033425), we get a palindrome (94466449).

The spelling of 52433024 in words is "fifty-two million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 278 421 448 556 842 896 973 1112 1684 1946 2224 2947 3368 3892 4448 5894 6736 7784 8896 11788 13472 15568 17792 23576 26944 31136 47152 53888 58519 62272 94304 117038 124544 188608 234076 377216 409633 468152 819266 936304 1638532 1872608 3277064 3745216 6554128 7490432 13108256 26216512 52433024