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198959936 = 2672319309
BaseRepresentation
bin10111101101111…
…10001101000000
3111212101012201112
423312332031000
5401413204221
631424222452
74634063060
oct1366761500
9455335645
10198959936
11a23425aa
125676aa28
13322b1a96
141c5d13a0
151270115b
hexbdbe340

198959936 has 56 divisors (see below), whose sum is σ = 470855040. Its totient is φ = 81556992.

The previous prime is 198959927. The next prime is 198959941. The reversal of 198959936 is 639959891.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1989599362 = 79170112266248192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650 + ... + 19958.

Almost surely, 2198959936 is an apocalyptic number.

198959936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198959936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235427520).

198959936 is an abundant number, since it is smaller than the sum of its proper divisors (271895104).

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

198959936 is a wasteful number, since it uses less digits than its factorization.

198959936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19351 (or 19341 counting only the distinct ones).

The product of its digits is 4723920, while the sum is 59.

The square root of 198959936 is about 14105.3158773563. The cubic root of 198959936 is about 583.7880634605.

The spelling of 198959936 in words is "one hundred ninety-eight million, nine hundred fifty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 10304 19309 38618 77236 135163 154472 270326 308944 444107 540652 617888 888214 1081304 1235776 1776428 2162608 3108749 3552856 4325216 6217498 7105712 8650432 12434996 14211424 24869992 28422848 49739984 99479968 198959936