Search a number
-
+
486056736 = 253211153427
BaseRepresentation
bin11100111110001…
…010001100100000
31020212121020111100
4130332022030200
51443412303421
6120121514400
715021262014
oct3476121440
91225536440
10486056736
1122a403690
12116942a00
1379912749
14487a6544
152ca11c26
hex1cf8a320

486056736 has 72 divisors (see below), whose sum is σ = 1507890384. Its totient is φ = 147288960.

The previous prime is 486056687. The next prime is 486056759. The reversal of 486056736 is 637650684.

486056736 is a `hidden beast` number, since 4 + 8 + 605 + 6 + 7 + 36 = 666.

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

It is a super-2 number, since 2×4860567362 = 472502301221947392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 486056691 and 486056700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73546 + ... + 79881.

It is an arithmetic number, because the mean of its divisors is an integer number (20942922).

Almost surely, 2486056736 is an apocalyptic number.

It is an amenable number.

486056736 is an abundant number, since it is smaller than the sum of its proper divisors (1021833648).

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

486056736 is a wasteful number, since it uses less digits than its factorization.

486056736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153454 (or 153443 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 486056736 is about 22046.6944461069. The cubic root of 486056736 is about 786.2530118014.

The spelling of 486056736 in words is "four hundred eighty-six million, fifty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 153427 306854 460281 613708 920562 1227416 1380843 1687697 1841124 2454832 2761686 3375394 3682248 4909664 5063091 5523372 6750788 7364496 10126182 11046744 13501576 14728992 15189273 20252364 22093488 27003152 30378546 40504728 44186976 54006304 60757092 81009456 121514184 162018912 243028368 486056736