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4285466480 = 2451492331543
BaseRepresentation
bin1111111101101111…
…0000011101110000
3102001122212020211202
43333123300131300
532234034411410
61545124230332
7211124602241
oct37733603560
912048766752
104285466480
1118aa041439
129b723b3a8
13533b012a9
142c9222cc8
151a1362ca5
hexff6f0770

4285466480 has 80 divisors (see below), whose sum is σ = 10080158400. Its totient is φ = 1694275584.

The previous prime is 4285466459. The next prime is 4285466509. The reversal of 4285466480 is 846645824.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2776589 + ... + 2778131.

It is an arithmetic number, because the mean of its divisors is an integer number (126001980).

Almost surely, 24285466480 is an apocalyptic number.

4285466480 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 4285466480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040079200).

4285466480 is an abundant number, since it is smaller than the sum of its proper divisors (5794691920).

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

4285466480 is a wasteful number, since it uses less digits than its factorization.

4285466480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 47.

The square root of 4285466480 is about 65463.4743960325. The cubic root of 4285466480 is about 1624.2992140405.

The spelling of 4285466480 in words is "four billion, two hundred eighty-five million, four hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 233 298 466 596 745 932 1165 1192 1490 1543 1864 2330 2384 2980 3086 3728 4660 5960 6172 7715 9320 11920 12344 15430 18640 24688 30860 34717 61720 69434 123440 138868 173585 229907 277736 347170 359519 459814 555472 694340 719038 919628 1149535 1388680 1438076 1797595 1839256 2299070 2777360 2876152 3595190 3678512 4598140 5752304 7190380 9196280 14380760 18392560 28761520 53568331 107136662 214273324 267841655 428546648 535683310 857093296 1071366620 2142733240 4285466480