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5332023024 = 243235391127
BaseRepresentation
bin1001111011101000…
…00011011011110000
3111202121010211112020
410331310003123300
541404444214044
62241031431440
7246063306426
oct47564033360
914677124466
105332023024
1122968738a9
121049825580
1366c88c413
1438820d116
1521318da19
hex13dd036f0

5332023024 has 80 divisors (see below), whose sum is σ = 14644634112. Its totient is φ = 1667970304.

The previous prime is 5332023023. The next prime is 5332023031. The reversal of 5332023024 is 4203202335.

It is a super-2 number, since 2×53320230242 = 56860939056932209152, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5332022985 and 5332023003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5332023023) 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 15 ways as a sum of consecutive naturals, for example, 12949 + ... + 104075.

Almost surely, 25332023024 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 5332023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7322317056).

5332023024 is an abundant number, since it is smaller than the sum of its proper divisors (9312611088).

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

5332023024 is a wasteful number, since it uses less digits than its factorization.

5332023024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91214 (or 91208 counting only the distinct ones).

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

The square root of 5332023024 is about 73020.7027082046. The cubic root of 5332023024 is about 1747.0178351738.

Adding to 5332023024 its reverse (4203202335), we get a palindrome (9535225359).

The spelling of 5332023024 in words is "five billion, three hundred thirty-two million, twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 53 69 92 106 138 159 184 212 276 318 368 424 552 636 848 1104 1219 1272 2438 2544 3657 4876 7314 9752 14628 19504 29256 58512 91127 182254 273381 364508 546762 729016 1093524 1458032 2095921 2187048 4191842 4374096 4829731 6287763 8383684 9659462 12575526 14489193 16767368 19318924 25151052 28978386 33534736 38637848 50302104 57956772 77275696 100604208 111083813 115913544 222167626 231827088 333251439 444335252 666502878 888670504 1333005756 1777341008 2666011512 5332023024