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4264398240 = 25358884163
BaseRepresentation
bin1111111000101101…
…1000110110100000
3102000012012212122120
43332023120312200
532213141220430
61543052504240
7210450533634
oct37613306640
912005185576
104264398240
111899161573
129b017b080
1352c63588b
142c64dadc4
1519e5a0610
hexfe2d8da0

4264398240 has 48 divisors (see below), whose sum is σ = 13432855968. Its totient is φ = 1137172736.

The previous prime is 4264398227. The next prime is 4264398251. The reversal of 4264398240 is 428934624.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 4264398192 and 4264398201.

It is an unprimeable number.

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, 4441602 + ... + 4442561.

It is an arithmetic number, because the mean of its divisors is an integer number (279851166).

Almost surely, 24264398240 is an apocalyptic number.

4264398240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4264398240 is an abundant number, since it is smaller than the sum of its proper divisors (9168457728).

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

4264398240 is a wasteful number, since it uses less digits than its factorization.

4264398240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8884181 (or 8884173 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 4264398240 is about 65302.3601411159. The cubic root of 4264398240 is about 1621.6330430895.

The spelling of 4264398240 in words is "four billion, two hundred sixty-four million, three hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8884163 17768326 26652489 35536652 44420815 53304978 71073304 88841630 106609956 133262445 142146608 177683260 213219912 266524890 284293216 355366520 426439824 533049780 710733040 852879648 1066099560 1421466080 2132199120 4264398240