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198728856 = 23331396619
BaseRepresentation
bin10111101100001…
…01110010011000
3111211221110202000
423312011302120
5401333310411
631415241000
74632111264
oct1366056230
9454843660
10198728856
11a21a4a27
1256679160
1332230851
141c5710a4
15126a7956
hexbd85c98

198728856 has 64 divisors (see below), whose sum is σ = 556080000. Its totient is φ = 65756448.

The previous prime is 198728839. The next prime is 198728857. The reversal of 198728856 is 658827891.

198728856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198728857) 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, 26715 + ... + 33333.

It is an arithmetic number, because the mean of its divisors is an integer number (8688750).

Almost surely, 2198728856 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 198728856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278040000).

198728856 is an abundant number, since it is smaller than the sum of its proper divisors (357351144).

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

198728856 is a wasteful number, since it uses less digits than its factorization.

198728856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6773 (or 6763 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 198728856 is about 14097.1222595252. The cubic root of 198728856 is about 583.5619643290.

The spelling of 198728856 in words is "one hundred ninety-eight million, seven hundred twenty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 417 556 834 1112 1251 1668 2502 3336 3753 5004 6619 7506 10008 13238 15012 19857 26476 30024 39714 52952 59571 79428 119142 158856 178713 238284 357426 476568 714852 920041 1429704 1840082 2760123 3680164 5520246 7360328 8280369 11040492 16560738 22080984 24841107 33121476 49682214 66242952 99364428 198728856