Search a number
-
+
2075936352 = 253721923227
BaseRepresentation
bin111101110111100…
…0100011001100000
312100200020111022120
41323233010121200
513222414430402
6541554304240
7102305111400
oct17357043140
95320214276
102075936352
119758a2786
1249b288080
13271113c09
141599c4800
15c23b23bc
hex7bbc4660

2075936352 has 144 divisors (see below), whose sum is σ = 6672939840. Its totient is φ = 561883392.

The previous prime is 2075936347. The next prime is 2075936353. The reversal of 2075936352 is 2536395702.

2075936352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075936353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77763 + ... + 100989.

It is an arithmetic number, because the mean of its divisors is an integer number (46339860).

Almost surely, 22075936352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2075936352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336469920).

2075936352 is an abundant number, since it is smaller than the sum of its proper divisors (4597003488).

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

2075936352 is a wasteful number, since it uses less digits than its factorization.

2075936352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23273 (or 23258 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The square root of 2075936352 is about 45562.4445349457. Note that the first 3 decimals coincide. The cubic root of 2075936352 is about 1275.6690277355.

The spelling of 2075936352 in words is "two billion, seventy-five million, nine hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 532 588 608 672 784 798 912 931 1064 1176 1568 1596 1824 1862 2128 2352 2793 3192 3724 4256 4704 5586 6384 7448 11172 12768 14896 22344 23227 29792 44688 46454 69681 89376 92908 139362 162589 185816 278724 325178 371632 441313 487767 557448 650356 743264 882626 975534 1114896 1138123 1300712 1323939 1765252 1951068 2229792 2276246 2601424 2647878 3089191 3414369 3530504 3902136 4552492 5202848 5295756 6178382 6828738 7061008 7804272 9104984 9267573 10591512 12356764 13657476 14122016 15608544 18209968 18535146 21183024 21624337 24713528 27314952 36419936 37070292 42366048 43248674 49427056 54629904 64873011 74140584 86497348 98854112 109259808 129746022 148281168 172994696 259492044 296562336 345989392 518984088 691978784 1037968176 2075936352