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198429864 = 23343474091
BaseRepresentation
bin10111101001111…
…00110010101000
3111211101021121020
423310330302220
5401244223424
631405012440
74626424503
oct1364746250
9454337536
10198429864
11a2010326
1256554120
1332157729
141c4d413a
1512649079
hexbd3cca8

198429864 has 64 divisors (see below), whose sum is σ = 518538240. Its totient is φ = 63215040.

The previous prime is 198429839. The next prime is 198429929. The reversal of 198429864 is 468924891.

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, 46459 + ... + 50549.

It is an arithmetic number, because the mean of its divisors is an integer number (8102160).

Almost surely, 2198429864 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 198429864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259269120).

198429864 is an abundant number, since it is smaller than the sum of its proper divisors (320108376).

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

198429864 is a wasteful number, since it uses less digits than its factorization.

198429864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4186 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 198429864 is about 14086.5135502011. The cubic root of 198429864 is about 583.2691567674.

The spelling of 198429864 in words is "one hundred ninety-eight million, four hundred twenty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 43 47 86 94 129 141 172 188 258 282 344 376 516 564 1032 1128 2021 4042 4091 6063 8084 8182 12126 12273 16168 16364 24252 24546 32728 48504 49092 98184 175913 192277 351826 384554 527739 576831 703652 769108 1055478 1153662 1407304 1538216 2110956 2307324 4221912 4614648 8267911 16535822 24803733 33071644 49607466 66143288 99214932 198429864