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198399828 = 2231121071277
BaseRepresentation
bin10111101001101…
…01011101010100
3111211022202101210
423310311131110
5401242243303
631404221420
74626241104
oct1364653524
9454282353
10198399828
11a1a9a800
125653a870
1332146b63
141c4c7204
1512640203
hexbd35754

198399828 has 72 divisors (see below), whose sum is σ = 514001376. Its totient is φ = 59512640.

The previous prime is 198399827. The next prime is 198399847. The reversal of 198399828 is 828993891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198399821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154726 + ... + 156002.

It is an arithmetic number, because the mean of its divisors is an integer number (7138908).

Almost surely, 2198399828 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 198399828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257000688).

198399828 is an abundant number, since it is smaller than the sum of its proper divisors (315601548).

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

198399828 is a wasteful number, since it uses less digits than its factorization.

198399828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1400 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 57.

The square root of 198399828 is about 14085.4473837362. The cubic root of 198399828 is about 583.2397257868.

The spelling of 198399828 in words is "one hundred ninety-eight million, three hundred ninety-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 121 132 214 242 321 363 428 484 642 726 1177 1277 1284 1452 2354 2554 3531 3831 4708 5108 7062 7662 12947 14047 14124 15324 25894 28094 38841 42141 51788 56188 77682 84282 136639 154517 155364 168564 273278 309034 409917 463551 546556 618068 819834 927102 1503029 1639668 1854204 3006058 4509087 6012116 9018174 16533319 18036348 33066638 49599957 66133276 99199914 198399828