Search a number
-
+
484829312 = 27111492311
BaseRepresentation
bin11100111001011…
…110100010000000
31020210021212210012
4130321132202000
51443104014222
6120035324052
715004660352
oct3471364200
91223255705
10484829312
11229745490
12116450628
13795a2b66
14485670d2
152c86d1e2
hex1ce5e880

484829312 has 64 divisors (see below), whose sum is σ = 1061208000. Its totient is φ = 218803200.

The previous prime is 484829309. The next prime is 484829321. The reversal of 484829312 is 213928484.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 484829312.

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 7 ways as a sum of consecutive naturals, for example, 208637 + ... + 210947.

It is an arithmetic number, because the mean of its divisors is an integer number (16581375).

Almost surely, 2484829312 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 484829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530604000).

484829312 is an abundant number, since it is smaller than the sum of its proper divisors (576378688).

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

484829312 is a wasteful number, since it uses less digits than its factorization.

484829312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2473 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 484829312 is about 22018.8399331118. The cubic root of 484829312 is about 785.5906204678.

The spelling of 484829312 in words is "four hundred eighty-four million, eight hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 149 176 298 352 596 704 1192 1408 1639 2311 2384 3278 4622 4768 6556 9244 9536 13112 18488 19072 25421 26224 36976 50842 52448 73952 101684 104896 147904 203368 209792 295808 344339 406736 688678 813472 1377356 1626944 2754712 3253888 3787729 5509424 7575458 11018848 15150916 22037696 30301832 44075392 60603664 121207328 242414656 484829312