Search a number
-
+
578668896 = 2532131271217
BaseRepresentation
bin100010011111011…
…100100101100000
31111022212102111100
4202133130211200
52141114401041
6133230514400
720224414221
oct4237344540
91438772440
10578668896
11277709563
12141965a00
1392b6a640
1456bd3248
1535c076b6
hex227dc960

578668896 has 144 divisors (see below), whose sum is σ = 1787595264. Its totient is φ = 176504832.

The previous prime is 578668889. The next prime is 578668903. The reversal of 578668896 is 698866875.

It is an interprime number because it is at equal distance from previous prime (578668889) and next prime (578668903).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474880 + ... + 476096.

It is an arithmetic number, because the mean of its divisors is an integer number (12413856).

Almost surely, 2578668896 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 578668896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893797632).

578668896 is an abundant number, since it is smaller than the sum of its proper divisors (1208926368).

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

578668896 is a wasteful number, since it uses less digits than its factorization.

578668896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1362 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The square root of 578668896 is about 24055.5377408197. The cubic root of 578668896 is about 833.3166253006.

The spelling of 578668896 in words is "five hundred seventy-eight million, six hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 127 144 156 208 234 254 288 312 381 416 468 508 624 762 936 1016 1143 1217 1248 1524 1651 1872 2032 2286 2434 3048 3302 3651 3744 4064 4572 4868 4953 6096 6604 7302 9144 9736 9906 10953 12192 13208 14604 14859 15821 18288 19472 19812 21906 26416 29208 29718 31642 36576 38944 39624 43812 47463 52832 58416 59436 63284 79248 87624 94926 116832 118872 126568 142389 154559 158496 175248 189852 237744 253136 284778 309118 350496 379704 463677 475488 506272 569556 618236 759408 927354 1139112 1236472 1391031 1518816 1854708 2009267 2278224 2472944 2782062 3709416 4018534 4556448 4945888 5564124 6027801 7418832 8037068 11128248 12055602 14837664 16074136 18083403 22256496 24111204 32148272 36166806 44512992 48222408 64296544 72333612 96444816 144667224 192889632 289334448 578668896