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4285003760 = 24567799441
BaseRepresentation
bin1111111101100111…
…1111011111110000
3102001121222202002222
43333121333133300
532233430110020
61545110300212
7211120634222
oct37731773760
912047882088
104285003760
1118a9855824
129b7057668
1353399b7ab
142c9142412
151a12c0b25
hexff67f7f0

4285003760 has 40 divisors (see below), whose sum is σ = 10111342416. Its totient is φ = 1688417280.

The previous prime is 4285003739. The next prime is 4285003763. The reversal of 4285003760 is 673005824.

It is a happy number.

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

It is a super-2 number, since 2×42850037602 = 36722514446428275200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4285003760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4285003763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394361 + ... + 405080.

Almost surely, 24285003760 is an apocalyptic number.

4285003760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4285003760 is an abundant number, since it is smaller than the sum of its proper divisors (5826338656).

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

4285003760 is a wasteful number, since it uses less digits than its factorization.

4285003760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799521 (or 799515 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 4285003760 is about 65459.9401160740. The cubic root of 4285003760 is about 1624.2407511101.

The spelling of 4285003760 in words is "four billion, two hundred eighty-five million, three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 799441 1598882 3197764 3997205 6395528 7994410 12791056 15988820 31977640 53562547 63955280 107125094 214250188 267812735 428500376 535625470 857000752 1071250940 2142501880 4285003760