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198405564 = 22378926539
BaseRepresentation
bin10111101001101…
…10110110111100
3111211100001021020
423310312312330
5401242434224
631404304140
74626263610
oct1364666674
9454301236
10198405564
11a1aa4045
1256542050
1332149656
141c4c9340
1512641c79
hexbd36dbc

198405564 has 48 divisors (see below), whose sum is σ = 535046400. Its totient is φ = 56048256.

The previous prime is 198405563. The next prime is 198405583. The reversal of 198405564 is 465504891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198405563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5794 + ... + 20745.

It is an arithmetic number, because the mean of its divisors is an integer number (11146800).

Almost surely, 2198405564 is an apocalyptic number.

198405564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

198405564 is an abundant number, since it is smaller than the sum of its proper divisors (336640836).

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

198405564 is a wasteful number, since it uses less digits than its factorization.

198405564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26642 (or 26640 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 198405564 is about 14085.6509966703. The cubic root of 198405564 is about 583.2453464752.

The spelling of 198405564 in words is "one hundred ninety-eight million, four hundred five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 7476 26539 53078 79617 106156 159234 185773 318468 371546 557319 743092 1114638 2229276 2361971 4723942 7085913 9447884 14171826 16533797 28343652 33067594 49601391 66135188 99202782 198405564