Search a number
-
+
610505056 = 25743241263
BaseRepresentation
bin100100011000111…
…001000101100000
31120112202212111101
4210120321011200
52222242130211
6140325124144
721062131060
oct4430710540
91515685441
10610505056
11293683537
12150559654
13996362c5
145b11d3a0
15388e55c1
hex24639160

610505056 has 96 divisors (see below), whose sum is σ = 1416780288. Its totient is φ = 253532160.

The previous prime is 610505033. The next prime is 610505083. The reversal of 610505056 is 650505016.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between even and odd.

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 15 ways as a sum of consecutive naturals, for example, 2321181 + ... + 2321443.

It is an arithmetic number, because the mean of its divisors is an integer number (14758128).

Almost surely, 2610505056 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 610505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708390144).

610505056 is an abundant number, since it is smaller than the sum of its proper divisors (806275232).

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

610505056 is a wasteful number, since it uses less digits than its factorization.

610505056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 610505056 is about 24708.4005148047. The cubic root of 610505056 is about 848.3266067179.

The spelling of 610505056 in words is "six hundred ten million, five hundred five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 241 263 301 344 482 526 602 688 964 1052 1204 1376 1687 1841 1928 2104 2408 3374 3682 3856 4208 4816 6748 7364 7712 8416 9632 10363 11309 13496 14728 20726 22618 26992 29456 41452 45236 53984 58912 63383 72541 79163 82904 90472 126766 145082 158326 165808 180944 253532 290164 316652 331616 361888 443681 507064 580328 633304 887362 1014128 1160656 1266608 1774724 2028256 2321312 2533216 2725469 3549448 5450938 7098896 10901876 14197792 19078283 21803752 38156566 43607504 76313132 87215008 152626264 305252528 610505056