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198318042 = 232138310211
BaseRepresentation
bin10111101001000…
…01011111011010
3111211011121012200
423310201133122
5401232134132
631402351030
74625450466
oct1364413732
9454147180
10198318042
11a1a4430a
12564bb476
1332118870
141c4a54a6
1512625d7c
hexbd217da

198318042 has 48 divisors (see below), whose sum is σ = 468363168. Its totient is φ = 60279840.

The previous prime is 198318017. The next prime is 198318047. The reversal of 198318042 is 240813891.

It is a junction number, because it is equal to n+sod(n) for n = 198317988 and 198318006.

It is not an unprimeable number, because it can be changed into a prime (198318047) 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, 14317 + ... + 24527.

It is an arithmetic number, because the mean of its divisors is an integer number (9757566).

Almost surely, 2198318042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198318042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234181584).

198318042 is an abundant number, since it is smaller than the sum of its proper divisors (270045126).

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

198318042 is a wasteful number, since it uses less digits than its factorization.

198318042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10315 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 198318042 is about 14082.5438753089. The cubic root of 198318042 is about 583.1595721551.

The spelling of 198318042 in words is "one hundred ninety-eight million, three hundred eighteen thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 83 117 166 234 249 498 747 1079 1494 2158 3237 6474 9711 10211 19422 20422 30633 61266 91899 132743 183798 265486 398229 796458 847513 1194687 1695026 2389374 2542539 5085078 7627617 11017669 15255234 22035338 33053007 66106014 99159021 198318042