Search a number
-
+
981546228 = 2233131634289
BaseRepresentation
bin111010100000010…
…011010011110100
32112101221201022000
4322200103103310
54002233434403
6241221535300
733216001545
oct7240232364
92471851260
10981546228
1146406a233
12234874530
131284787b0
14945064cc
155b2887a3
hex3a8134f4

981546228 has 96 divisors (see below), whose sum is σ = 2757955200. Its totient is φ = 300091392.

The previous prime is 981546173. The next prime is 981546263. The reversal of 981546228 is 822645189.

981546228 is a `hidden beast` number, since 9 + 8 + 15 + 4 + 622 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226708 + ... + 230996.

It is an arithmetic number, because the mean of its divisors is an integer number (28728700).

Almost surely, 2981546228 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 981546228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378977600).

981546228 is an abundant number, since it is smaller than the sum of its proper divisors (1776408972).

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

981546228 is a wasteful number, since it uses less digits than its factorization.

981546228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4470 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 981546228 is about 31329.6381721845. The cubic root of 981546228 is about 993.8105119435.

The spelling of 981546228 in words is "nine hundred eighty-one million, five hundred forty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 163 234 326 351 468 489 652 702 978 1404 1467 1956 2119 2934 4238 4289 4401 5868 6357 8476 8578 8802 12714 12867 17156 17604 19071 25428 25734 38142 38601 51468 55757 57213 76284 77202 111514 114426 115803 154404 167271 223028 228852 231606 334542 463212 501813 669084 699107 1003626 1398214 1505439 2007252 2097321 2796428 3010878 4194642 6021756 6291963 8389284 9088391 12583926 18176782 18875889 25167852 27265173 36353564 37751778 54530346 75503556 81795519 109060692 163591038 245386557 327182076 490773114 981546228