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204871392 = 25321125879
BaseRepresentation
bin11000011011000…
…01011011100000
3112021111112201100
430031201123200
5404421341032
632155034400
75035243455
oct1415413340
9467445640
10204871392
11a570aa00
125873ba00
13335a169b
141d2cd82c
1512ebc97c
hexc3616e0

204871392 has 108 divisors (see below), whose sum is σ = 640490760. Its totient is φ = 62071680.

The previous prime is 204871379. The next prime is 204871417. The reversal of 204871392 is 293178402.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31909 + ... + 37787.

It is an arithmetic number, because the mean of its divisors is an integer number (5930470).

Almost surely, 2204871392 is an apocalyptic number.

204871392 is a gapful number since it is divisible by the number (22) 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 204871392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320245380).

204871392 is an abundant number, since it is smaller than the sum of its proper divisors (435619368).

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

204871392 is a wasteful number, since it uses less digits than its factorization.

204871392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5895 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 204871392 is about 14313.3291724881. The cubic root of 204871392 is about 589.5135241110.

The spelling of 204871392 in words is "two hundred four million, eight hundred seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 5879 8712 11616 11758 17424 17637 23516 34848 35274 47032 52911 64669 70548 94064 105822 129338 141096 188128 194007 211644 258676 282192 388014 423288 517352 564384 582021 711359 776028 846576 1034704 1164042 1422718 1552056 1693152 2069408 2134077 2328084 2845436 3104112 4268154 4656168 5690872 6208224 6402231 8536308 9312336 11381744 12804462 17072616 18624672 22763488 25608924 34145232 51217848 68290464 102435696 204871392