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4248958440 = 233535407987
BaseRepresentation
bin1111110101000001…
…1111010111101000
3101222010011110020010
43331100133113220
532200213132230
61541341531520
7210202356636
oct37520372750
911863143203
104248958440
111890476401
129a6b73ba0
1352938acbc
142c443c356
1519d0509b0
hexfd41f5e8

4248958440 has 32 divisors (see below), whose sum is σ = 12746875680. Its totient is φ = 1133055552.

The previous prime is 4248958397. The next prime is 4248958447. The reversal of 4248958440 is 448598424.

It is a happy number.

It is a super-4 number, since 4×42489584404 (a number of 40 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4248958440.

It is not an unprimeable number, because it can be changed into a prime (4248958447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17703874 + ... + 17704113.

It is an arithmetic number, because the mean of its divisors is an integer number (398339865).

Almost surely, 24248958440 is an apocalyptic number.

4248958440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4248958440 is an abundant number, since it is smaller than the sum of its proper divisors (8497917240).

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

4248958440 is a wasteful number, since it uses less digits than its factorization.

4248958440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35408001 (or 35407997 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 4248958440 is about 65184.0351619935. The cubic root of 4248958440 is about 1619.6735662956.

The spelling of 4248958440 in words is "four billion, two hundred forty-eight million, nine hundred fifty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 35407987 70815974 106223961 141631948 177039935 212447922 283263896 354079870 424895844 531119805 708159740 849791688 1062239610 1416319480 2124479220 4248958440