Search a number
-
+
472356486 = 23273124783
BaseRepresentation
bin11100001001111…
…001011010000110
31012220211012021200
4130021321122012
51431410401421
6114512123330
714463651420
oct3411713206
91186735250
10472356486
112226a6468
12112236546
1376b268a4
1446a3b810
152b707726
hex1c279686

472356486 has 144 divisors (see below), whose sum is σ = 1249178112. Its totient is φ = 126286560.

The previous prime is 472356481. The next prime is 472356487. The reversal of 472356486 is 684653274.

472356486 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 564 + 86 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472356481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5691001 + ... + 5691083.

It is an arithmetic number, because the mean of its divisors is an integer number (8674848).

Almost surely, 2472356486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472356486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624589056).

472356486 is an abundant number, since it is smaller than the sum of its proper divisors (776821626).

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

472356486 is a wasteful number, since it uses less digits than its factorization.

472356486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 173 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 472356486 is about 21733.7637329571. The cubic root of 472356486 is about 778.7952506154.

The spelling of 472356486 in words is "four hundred seventy-two million, three hundred fifty-six thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 47 62 63 83 93 94 126 141 166 186 217 249 279 282 329 423 434 498 558 581 651 658 747 846 961 987 1162 1302 1457 1494 1743 1922 1953 1974 2573 2883 2914 2961 3486 3901 3906 4371 5146 5229 5766 5922 6727 7719 7802 8649 8742 10199 10458 11703 13113 13454 15438 17298 18011 20181 20398 23157 23406 26226 27307 30597 35109 36022 40362 45167 46314 54033 54614 60543 61194 70218 79763 81921 90334 91791 108066 120931 121086 135501 159526 162099 163842 183582 239289 241862 245763 271002 316169 324198 362793 406503 478578 491526 558341 632338 717867 725586 813006 846517 948507 1088379 1116682 1435734 1675023 1693034 1897014 2176758 2539551 2845521 3350046 3748861 5025069 5079102 5691042 7497722 7618653 10050138 11246583 15237306 22493166 26242027 33739749 52484054 67479498 78726081 157452162 236178243 472356486