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4241331424 = 2511118710151
BaseRepresentation
bin1111110011001101…
…1001010011100000
3101221120210221221001
43330303121103200
532141240101144
61540510241344
7210050502511
oct37463312340
911846727831
104241331424
111887137090
129a44b6254
1352791a585
142c3414a08
1519c545bd4
hexfccd94e0

4241331424 has 48 divisors (see below), whose sum is σ = 9117795456. Its totient is φ = 1926064000.

The previous prime is 4241331421. The next prime is 4241331427.

4241331424 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4241331421) and next prime (4241331427).

It is a junction number, because it is equal to n+sod(n) for n = 4241331392 and 4241331401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241331421) 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 7 ways as a sum of consecutive naturals, for example, 412749 + ... + 422899.

It is an arithmetic number, because the mean of its divisors is an integer number (189954072).

Almost surely, 24241331424 is an apocalyptic number.

4241331424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4241331424 is an abundant number, since it is smaller than the sum of its proper divisors (4876464032).

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

4241331424 is a wasteful number, since it uses less digits than its factorization.

4241331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11359 (or 11351 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 4241331424 is about 65125.5051727048. The cubic root of 4241331424 is about 1618.7038639346.

It can be divided in two parts, 42413 and 31424, that added together give a palindrome (73837).

The spelling of 4241331424 in words is "four billion, two hundred forty-one million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1187 2374 4748 9496 10151 13057 18992 20302 26114 37984 40604 52228 81208 104456 111661 162416 208912 223322 324832 417824 446644 893288 1786576 3573152 12049237 24098474 48196948 96393896 132541607 192787792 265083214 385575584 530166428 1060332856 2120665712 4241331424