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198905652 = 223311167429
BaseRepresentation
bin10111101101100…
…00111100110100
3111212021110021000
423312300330310
5401404440102
631423123300
74633445601
oct1366607464
9455243230
10198905652
11a2305840
1256743530
133229316a
141c5b96a8
15126e001c
hexbdb0f34

198905652 has 48 divisors (see below), whose sum is σ = 562564800. Its totient is φ = 60274080.

The previous prime is 198905621. The next prime is 198905711. The reversal of 198905652 is 256509891.

198905652 is a `hidden beast` number, since 1 + 9 + 89 + 0 + 565 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 198905598 and 198905607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82527 + ... + 84902.

It is an arithmetic number, because the mean of its divisors is an integer number (11720100).

Almost surely, 2198905652 is an apocalyptic number.

198905652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198905652 is an abundant number, since it is smaller than the sum of its proper divisors (363659148).

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

198905652 is a wasteful number, since it uses less digits than its factorization.

198905652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167453 (or 167445 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 198905652 is about 14103.3915070099. The cubic root of 198905652 is about 583.7349652766.

The spelling of 198905652 in words is "one hundred ninety-eight million, nine hundred five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 167429 334858 502287 669716 1004574 1506861 1841719 2009148 3013722 3683438 4520583 5525157 6027444 7366876 9041166 11050314 16575471 18082332 22100628 33150942 49726413 66301884 99452826 198905652