Search a number
-
+
246253056 = 293737619
BaseRepresentation
bin11101010110110…
…00011000000000
3122011100221200120
432223120120000
51001020044211
640234020240
76050054640
oct1653303000
9564327616
10246253056
11117004625
126a577680
133c03008a
14249c2520
1516943d06
hexead8600

246253056 has 160 divisors (see below), whose sum is σ = 771260160. Its totient is φ = 68345856.

The previous prime is 246253037. The next prime is 246253067. The reversal of 246253056 is 650352642.

246253056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 397515 + ... + 398133.

It is an arithmetic number, because the mean of its divisors is an integer number (4820376).

Almost surely, 2246253056 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 246253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385630080).

246253056 is an abundant number, since it is smaller than the sum of its proper divisors (525007104).

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

246253056 is an equidigital number, since it uses as much as digits as its factorization.

246253056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 246253056 is about 15692.4521984297. The cubic root of 246253056 is about 626.7974336032.

The spelling of 246253056 in words is "two hundred forty-six million, two hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 444 448 512 518 592 619 672 768 777 888 896 1036 1184 1238 1344 1536 1554 1776 1792 1857 2072 2368 2476 2688 3108 3552 3584 3714 4144 4333 4736 4952 5376 6216 7104 7428 8288 8666 9472 9904 10752 12432 12999 14208 14856 16576 17332 18944 19808 22903 24864 25998 28416 29712 33152 34664 39616 45806 49728 51996 56832 59424 66304 68709 69328 79232 91612 99456 103992 118848 132608 137418 138656 158464 160321 183224 198912 207984 237696 274836 277312 316928 320642 366448 397824 415968 475392 480963 549672 554624 641284 732896 831936 950784 961926 1099344 1109248 1282568 1465792 1663872 1923852 2198688 2218496 2565136 2931584 3327744 3847704 4397376 5130272 5863168 6655488 7695408 8794752 10260544 11726336 15390816 17589504 20521088 30781632 35179008 41042176 61563264 82084352 123126528 246253056