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4085286912 = 21132731663
BaseRepresentation
bin1111001110000000…
…1000100000000000
3101112201012002002200
43303200020200000
531331313140122
61513213513200
7203144236320
oct36340104000
911481162080
104085286912
111807046583
129601a2800
135014b3345
142aa7d5280
1518d9c05ac
hexf3808800

4085286912 has 144 divisors (see below), whose sum is σ = 13485064320. Its totient is φ = 1167187968.

The previous prime is 4085286911. The next prime is 4085286913. The reversal of 4085286912 is 2196825804.

It is an interprime number because it is at equal distance from previous prime (4085286911) and next prime (4085286913).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4085286911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113193 + ... + 144855.

It is an arithmetic number, because the mean of its divisors is an integer number (93646280).

Almost surely, 24085286912 is an apocalyptic number.

4085286912 is a gapful number since it is divisible by the number (42) 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 4085286912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742532160).

4085286912 is an abundant number, since it is smaller than the sum of its proper divisors (9399777408).

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

4085286912 is a wasteful number, since it uses less digits than its factorization.

4085286912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31698 (or 31675 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4085286912 is about 63916.2492015919. The cubic root of 4085286912 is about 1598.6038487471.

The spelling of 4085286912 in words is "four billion, eighty-five million, two hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 16128 18432 21504 31663 32256 43008 63326 64512 94989 126652 129024 189978 221641 253304 284967 379956 443282 506608 569934 664923 759912 886564 1013216 1139868 1329846 1519824 1773128 1994769 2026432 2279736 2659692 3039648 3546256 3989538 4052864 4559472 5319384 6079296 7092512 7979076 8105728 9118944 10638768 12158592 14185024 15958152 16211456 18237888 21277536 24317184 28370048 31916304 32422912 36475776 42555072 48634368 56740096 63832608 64845824 72951552 85110144 97268736 113480192 127665216 145903104 170220288 194537472 226960384 255330432 291806208 340440576 453920768 510660864 583612416 680881152 1021321728 1361762304 2042643456 4085286912