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4249481440 = 25526559259
BaseRepresentation
bin1111110101001001…
…1111000011100000
3101222011011000122111
43331102133003200
532200331401230
61541401045104
7210206665501
oct37522370340
911864130574
104249481440
1118907a3336
129a7186794
13529512079
142c4536ba8
1519d10592a
hexfd49f0e0

4249481440 has 24 divisors (see below), whose sum is σ = 10039400280. Its totient is φ = 1699792512.

The previous prime is 4249481437. The next prime is 4249481441. The reversal of 4249481440 is 441849424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4249481393 and 4249481402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4249481441) 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 3 ways as a sum of consecutive naturals, for example, 13279470 + ... + 13279789.

It is an arithmetic number, because the mean of its divisors is an integer number (418308345).

Almost surely, 24249481440 is an apocalyptic number.

4249481440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4249481440 is an abundant number, since it is smaller than the sum of its proper divisors (5789918840).

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

4249481440 is a wasteful number, since it uses less digits than its factorization.

4249481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26559274 (or 26559266 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 4249481440 is about 65188.0467570551. The cubic root of 4249481440 is about 1619.7400182299.

The spelling of 4249481440 in words is "four billion, two hundred forty-nine million, four hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 26559259 53118518 106237036 132796295 212474072 265592590 424948144 531185180 849896288 1062370360 2124740720 4249481440