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198819088 = 24131815281
BaseRepresentation
bin10111101100110…
…11110100010000
3111212010001111221
423312123310100
5401344202323
631421214424
74632635326
oct1366336420
9455101457
10198819088
11a22567a6
1256701414
1332262940
141c595d16
15126c455d
hexbd9bd10

198819088 has 40 divisors (see below), whose sum is σ = 417214616. Its totient is φ = 91238400.

The previous prime is 198819079. The next prime is 198819091. The reversal of 198819088 is 880918891.

It can be written as a sum of positive squares in 4 ways, for example, as 23309584 + 175509504 = 4828^2 + 13248^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35008 + ... + 40288.

Almost surely, 2198819088 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 198819088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208607308).

198819088 is an abundant number, since it is smaller than the sum of its proper divisors (218395528).

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

198819088 is a wasteful number, since it uses less digits than its factorization.

198819088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5483 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 52.

The square root of 198819088 is about 14100.3222658207. The cubic root of 198819088 is about 583.6502722491.

The spelling of 198819088 in words is "one hundred ninety-eight million, eight hundred nineteen thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 181 208 362 724 1448 2353 2896 4706 5281 9412 10562 18824 21124 37648 42248 68653 84496 137306 274612 549224 955861 1098448 1911722 3823444 7646888 12426193 15293776 24852386 49704772 99409544 198819088