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4241551424 = 261124211301
BaseRepresentation
bin1111110011010000…
…1111000001000000
3101221121020010201012
43330310033001000
532141314121144
61540515100052
7210052410065
oct37464170100
911847203635
104241551424
111887277400
129a45a1628
13527996756
142c3470c6c
1519c58ae9e
hexfcd0f040

4241551424 has 84 divisors (see below), whose sum is σ = 9280658604. Its totient is φ = 1921920000.

The previous prime is 4241551423. The next prime is 4241551439.

4241551424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 12390400 + 4229161024 = 3520^2 + 65032^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4241551423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3259574 + ... + 3260874.

It is an arithmetic number, because the mean of its divisors is an integer number (110484031).

Almost surely, 24241551424 is an apocalyptic number.

4241551424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4241551424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640329302).

4241551424 is an abundant number, since it is smaller than the sum of its proper divisors (5039107180).

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

4241551424 is a wasteful number, since it uses less digits than its factorization.

4241551424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1735 counting only the distinct ones).

The product of its digits is 25600, while the sum is 32.

The square root of 4241551424 is about 65127.1941972015. The cubic root of 4241551424 is about 1618.7318511126.

It can be divided in two parts, 42415 and 51424, that added together give a palindrome (93839).

The spelling of 4241551424 in words is "four billion, two hundred forty-one million, five hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 421 484 704 842 968 1301 1684 1936 2602 3368 3872 4631 5204 6736 7744 9262 10408 13472 14311 18524 20816 26944 28622 37048 41632 50941 57244 74096 83264 101882 114488 148192 157421 203764 228976 296384 314842 407528 457952 547721 629684 815056 915904 1095442 1259368 1630112 2190884 2518736 3260224 4381768 5037472 6024931 8763536 10074944 12049862 17527072 24099724 35054144 48199448 66274241 96398896 132548482 192797792 265096964 385595584 530193928 1060387856 2120775712 4241551424