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4032089712 = 243371970177
BaseRepresentation
bin1111000001010100…
…1100111001110000
3101102000002101021000
43300111030321300
531224203332322
61504033402000
7201630124410
oct36025147160
911360071230
104032089712
11178a011752
12946409300
134c3478901
142a3708640
15188eb33ac
hexf054ce70

4032089712 has 160 divisors (see below), whose sum is σ = 13923315200. Its totient is φ = 1091377152.

The previous prime is 4032089701. The next prime is 4032089717. The reversal of 4032089712 is 2179802304.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032089717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22368 + ... + 92544.

It is an arithmetic number, because the mean of its divisors is an integer number (87020720).

Almost surely, 24032089712 is an apocalyptic number.

4032089712 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 4032089712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961657600).

4032089712 is an abundant number, since it is smaller than the sum of its proper divisors (9891225488).

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

4032089712 is a wasteful number, since it uses less digits than its factorization.

4032089712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70220 (or 70208 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4032089712 is about 63498.7378772208. The cubic root of 4032089712 is about 1591.6346876074.

The spelling of 4032089712 in words is "four billion, thirty-two million, eighty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 14364 19152 28728 57456 70177 140354 210531 280708 421062 491239 561416 631593 842124 982478 1122832 1263186 1333363 1473717 1684248 1894779 1964956 2526372 2666726 2947434 3368496 3789558 3929912 4000089 4421151 5052744 5333452 5894868 7579116 7859824 8000178 8842302 9333541 10105488 10666904 11789736 12000267 13263453 15158232 16000356 17684604 18667082 21333808 23579472 24000534 26526906 28000623 30316464 32000712 35369208 36000801 37334164 48001068 53053812 56001246 64001424 70738416 72001602 74668328 84001869 96002136 106107624 112002492 144003204 149336656 168003738 192004272 212215248 224004984 252005607 288006408 336007476 448009968 504011214 576012816 672014952 1008022428 1344029904 2016044856 4032089712