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198793088 = 2713193619
BaseRepresentation
bin10111101100101…
…01011110000000
3111212001201211222
423312111132000
5401342334323
631420454212
74632466454
oct1366253600
9455051758
10198793088
11a223920a
12566aa368
1332253b60
141c58a664
15126bb9c8
hexbd95780

198793088 has 64 divisors (see below), whose sum is σ = 429399600. Its totient is φ = 91127808.

The previous prime is 198793043. The next prime is 198793097. The reversal of 198793088 is 880397891.

198793088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 320843 + ... + 321461.

Almost surely, 2198793088 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 198793088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214699800).

198793088 is an abundant number, since it is smaller than the sum of its proper divisors (230606512).

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

198793088 is a wasteful number, since it uses less digits than its factorization.

198793088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 53.

The square root of 198793088 is about 14099.4002709335. The cubic root of 198793088 is about 583.6248294059.

The spelling of 198793088 in words is "one hundred ninety-eight million, seven hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 193 208 386 416 619 772 832 1238 1544 1664 2476 2509 3088 4952 5018 6176 8047 9904 10036 12352 16094 19808 20072 24704 32188 39616 40144 64376 79232 80288 119467 128752 160576 238934 257504 321152 477868 515008 955736 1030016 1553071 1911472 3106142 3822944 6212284 7645888 12424568 15291776 24849136 49698272 99396544 198793088