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198513294 = 23729349467
BaseRepresentation
bin10111101010100…
…01001010001110
3111211112112001020
423311101022032
5401304411134
631410455010
74630222650
oct1365211216
9454475036
10198513294
11a2067a81
1256594466
13321866b5
141c5166d0
1512663b49
hexbd5128e

198513294 has 64 divisors (see below), whose sum is σ = 471744000. Its totient is φ = 54488448.

The previous prime is 198513283. The next prime is 198513443. The reversal of 198513294 is 492315891.

198513294 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 (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424849 + ... + 425315.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2198513294 is an apocalyptic number.

198513294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198513294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

198513294 is an abundant number, since it is smaller than the sum of its proper divisors (273230706).

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

198513294 is a wasteful number, since it uses less digits than its factorization.

198513294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857.

The product of its digits is 77760, while the sum is 42.

The square root of 198513294 is about 14089.4745821127. The cubic root of 198513294 is about 583.3508906462.

The spelling of 198513294 in words is "one hundred ninety-eight million, five hundred thirteen thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 349 406 467 609 698 934 1047 1218 1401 2094 2443 2802 3269 4886 6538 7329 9807 10121 13543 14658 19614 20242 27086 30363 40629 60726 70847 81258 94801 141694 162983 189602 212541 284403 325966 425082 488949 568806 977898 1140881 2281762 3422643 4726507 6845286 9453014 14179521 28359042 33085549 66171098 99256647 198513294