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4085425680 = 2435714331697
BaseRepresentation
bin1111001110000010…
…1010011000010000
3101112201110010110020
43303200222120100
531331332110210
61513220503440
7203145355020
oct36340523020
911481403406
104085425680
111807130866
1296024ab80
1350153155b
142aa82da80
1518d9eb770
hexf382a610

4085425680 has 160 divisors (see below), whose sum is σ = 14492715264. Its totient is φ = 932610048.

The previous prime is 4085425549. The next prime is 4085425691. The reversal of 4085425680 is 865245804.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2406592 + ... + 2408288.

Almost surely, 24085425680 is an apocalyptic number.

4085425680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4085425680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246357632).

4085425680 is an abundant number, since it is smaller than the sum of its proper divisors (10407289584).

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

4085425680 is a wasteful number, since it uses less digits than its factorization.

4085425680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 4085425680 is about 63917.3347379254. The cubic root of 4085425680 is about 1598.6219488668.

The spelling of 4085425680 in words is "four billion, eighty-five million, four hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1433 1680 1697 2866 3394 4299 5091 5732 6788 7165 8485 8598 10031 10182 11464 11879 13576 14330 16970 17196 20062 20364 21495 22928 23758 25455 27152 28660 30093 33940 34392 35637 40124 40728 42990 47516 50155 50910 57320 59395 60186 67880 68784 71274 80248 81456 85980 95032 100310 101820 114640 118790 120372 135760 142548 150465 160496 171960 178185 190064 200620 203640 237580 240744 285096 300930 343920 356370 401240 407280 475160 481488 570192 601860 712740 802480 950320 1203720 1425480 2407440 2431801 2850960 4863602 7295403 9727204 12159005 14590806 17022607 19454408 24318010 29181612 34045214 36477015 38908816 48636020 51067821 58363224 68090428 72954030 85113035 97272040 102135642 116726448 136180856 145908060 170226070 194544080 204271284 255339105 272361712 291816120 340452140 408542568 510678210 583632240 680904280 817085136 1021356420 1361808560 2042712840 4085425680