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2028035232 = 2535260807
BaseRepresentation
bin111100011100001…
…0101110010100000
312020100002212100000
41320320111302200
513123134111412
6533123500000
7101154005106
oct17070256240
95210085300
102028035232
11950855983
12487227600
13264211c62
141534b5c76
15bd09e4dc
hex78e15ca0

2028035232 has 72 divisors (see below), whose sum is σ = 5980849056. Its totient is φ = 676009152.

The previous prime is 2028035227. The next prime is 2028035239. The reversal of 2028035232 is 2325308202.

2028035232 is a `hidden beast` number, since 2 + 0 + 280 + 352 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×20280352322 = 8225853804466587648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2028035196 and 2028035205.

It is not an unprimeable number, because it can be changed into a prime (2028035239) 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, 122628 + ... + 138179.

It is an arithmetic number, because the mean of its divisors is an integer number (83067348).

Almost surely, 22028035232 is an apocalyptic number.

It is an amenable number.

2028035232 is an abundant number, since it is smaller than the sum of its proper divisors (3952813824).

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

2028035232 is an equidigital number, since it uses as much as digits as its factorization.

2028035232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260832 (or 260812 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2028035232 is about 45033.7121721050. The cubic root of 2028035232 is about 1265.7807845769.

The spelling of 2028035232 in words is "two billion, twenty-eight million, thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 260807 521614 782421 1043228 1564842 2086456 2347263 3129684 4172912 4694526 6259368 7041789 8345824 9389052 12518736 14083578 18778104 21125367 25037472 28167156 37556208 42250734 56334312 63376101 75112416 84501468 112668624 126752202 169002936 225337248 253504404 338005872 507008808 676011744 1014017616 2028035232