Search a number
-
+
3205652480 = 2135611283
BaseRepresentation
bin1011111100010010…
…0110000000000000
322021102000000111122
42333010212000000
523031121334410
61250032131412
7142303411412
oct27704460000
98242000448
103205652480
1113a5564178
12755696b68
133c119a5b4
14225a5a9b2
1513b667e55
hexbf126000

3205652480 has 112 divisors (see below), whose sum is σ = 7825307184. Its totient is φ = 1260257280.

The previous prime is 3205652479. The next prime is 3205652497. The reversal of 3205652480 is 842565023.

It is a self number, because there is not a number n which added to its sum of digits gives 3205652480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2497919 + ... + 2499201.

Almost surely, 23205652480 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 3205652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912653592).

3205652480 is an abundant number, since it is smaller than the sum of its proper divisors (4619654704).

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

3205652480 is an equidigital number, since it uses as much as digits as its factorization.

3205652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 3205652480 is about 56618.4817881935. The cubic root of 3205652480 is about 1474.4797521754.

The spelling of 3205652480 in words is "three billion, two hundred five million, six hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 512 610 640 976 1024 1220 1280 1283 1952 2048 2440 2560 2566 3904 4096 4880 5120 5132 6415 7808 8192 9760 10240 10264 12830 15616 19520 20480 20528 25660 31232 39040 40960 41056 51320 62464 78080 78263 82112 102640 124928 156160 156526 164224 205280 249856 312320 313052 328448 391315 410560 499712 624640 626104 656896 782630 821120 1249280 1252208 1313792 1565260 1642240 2498560 2504416 2627584 3130520 3284480 5008832 5255168 6261040 6568960 10017664 10510336 12522080 13137920 20035328 25044160 26275840 40070656 50088320 52551680 80141312 100176640 160282624 200353280 320565248 400706560 641130496 801413120 1602826240 3205652480