Search a number
-
+
556979916 = 2232941103379
BaseRepresentation
bin100001001100101…
…101011011001100
31102211001111210210
4201030231123030
52120041324131
6131134002420
716542152103
oct4114553314
91384044723
10556979916
11266445289
12136646410
138b51551c
1453d8903a
1533d71146
hex2132d6cc

556979916 has 96 divisors (see below), whose sum is σ = 1394265600. Its totient is φ = 172730880.

The previous prime is 556979893. The next prime is 556979923. The reversal of 556979916 is 619979655.

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, 1469415 + ... + 1469793.

It is an arithmetic number, because the mean of its divisors is an integer number (14523600).

Almost surely, 2556979916 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 556979916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697132800).

556979916 is an abundant number, since it is smaller than the sum of its proper divisors (837285684).

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

556979916 is a wasteful number, since it uses less digits than its factorization.

556979916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its digits is 4592700, while the sum is 57.

The square root of 556979916 is about 23600.4219453806. The cubic root of 556979916 is about 822.7726468676.

The spelling of 556979916 in words is "five hundred fifty-six million, nine hundred seventy-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 103 116 123 164 174 206 246 309 348 379 412 492 618 758 1137 1189 1236 1516 2274 2378 2987 3567 4223 4548 4756 5974 7134 8446 8961 10991 11948 12669 14268 15539 16892 17922 21982 25338 31078 32973 35844 39037 43964 46617 50676 62156 65946 78074 93234 117111 122467 131892 156148 186468 234222 244934 367401 450631 468444 489868 734802 901262 1132073 1351893 1469604 1600517 1802524 2264146 2703786 3201034 3396219 4528292 4801551 5407572 6402068 6792438 9603102 13584876 19206204 46414993 92829986 139244979 185659972 278489958 556979916