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3250143424 = 26117958439
BaseRepresentation
bin1100000110111001…
…0100000011000000
322101111201101121101
43001232110003000
523124014042144
61254301504144
7143353522543
oct30156240300
98344641541
103250143424
111418691950
12768572054
133ca4772b8
1422b91c85a
151405056d4
hexc1b940c0

3250143424 has 56 divisors (see below), whose sum is σ = 7125004800. Its totient is φ = 1458612480.

The previous prime is 3250143397. The next prime is 3250143427. The reversal of 3250143424 is 4243410523.

It is a happy number.

It is a super-3 number, since 3×32501434243 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3250143392 and 3250143401.

It is not an unprimeable number, because it can be changed into a prime (3250143427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26397 + ... + 84835.

Almost surely, 23250143424 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 3250143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562502400).

3250143424 is an abundant number, since it is smaller than the sum of its proper divisors (3874861376).

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

3250143424 is a wasteful number, since it uses less digits than its factorization.

3250143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58541 (or 58531 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 3250143424 is about 57010.0291527728. The cubic root of 3250143424 is about 1481.2698232696.

Adding to 3250143424 its reverse (4243410523), we get a palindrome (7493553947).

The spelling of 3250143424 in words is "three billion, two hundred fifty million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 158 176 316 352 632 704 869 1264 1738 2528 3476 5056 6952 13904 27808 55616 58439 116878 233756 467512 642829 935024 1285658 1870048 2571316 3740096 4616681 5142632 9233362 10285264 18466724 20570528 36933448 41141056 50783491 73866896 101566982 147733792 203133964 295467584 406267928 812535856 1625071712 3250143424