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4282268240 = 245153134963
BaseRepresentation
bin1111111100111110…
…0011101001010000
3102001102211202200102
43333033203221100
532232230040430
61544531511532
7211055452025
oct37717435120
912042752612
104282268240
1118a8257568
129b61585a8
13533251643
142c8a2d54c
151a0e30345
hexff3e3a50

4282268240 has 40 divisors (see below), whose sum is σ = 9963061728. Its totient is φ = 1711739520.

The previous prime is 4282268239. The next prime is 4282268251. The reversal of 4282268240 is 428622824.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4282268194 and 4282268203.

It is a congruent number.

It is an unprimeable number.

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, 104999 + ... + 139961.

Almost surely, 24282268240 is an apocalyptic number.

4282268240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4282268240 is an abundant number, since it is smaller than the sum of its proper divisors (5680793488).

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

4282268240 is a wasteful number, since it uses less digits than its factorization.

4282268240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36507 (or 36501 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 4282268240 is about 65439.0421690293. The cubic root of 4282268240 is about 1623.8950424375.

The spelling of 4282268240 in words is "four billion, two hundred eighty-two million, two hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1531 3062 6124 7655 12248 15310 24496 30620 34963 61240 69926 122480 139852 174815 279704 349630 559408 699260 1398520 2797040 53528353 107056706 214113412 267641765 428226824 535283530 856453648 1070567060 2141134120 4282268240