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204005888 = 291967313
BaseRepresentation
bin11000010100011…
…10001000000000
3112012212120110122
430022032020000
5404211142023
632124315412
75025010232
oct1412161000
9465776418
10204005888
11a5179709
12583a2b68
133335a758
141d146252
1512d9b2c8
hexc28e200

204005888 has 80 divisors (see below), whose sum is σ = 436861920. Its totient is φ = 94887936.

The previous prime is 204005881. The next prime is 204005903. The reversal of 204005888 is 888500402.

It is not an unprimeable number, because it can be changed into a prime (204005881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651620 + ... + 651932.

It is an arithmetic number, because the mean of its divisors is an integer number (5460774).

Almost surely, 2204005888 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 204005888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218430960).

204005888 is an abundant number, since it is smaller than the sum of its proper divisors (232856032).

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

204005888 is an equidigital number, since it uses as much as digits as its factorization.

204005888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 204005888 is about 14283.0629768268. The cubic root of 204005888 is about 588.6821952407.

The spelling of 204005888 in words is "two hundred four million, five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 67 76 128 134 152 256 268 304 313 512 536 608 626 1072 1216 1252 1273 2144 2432 2504 2546 4288 4864 5008 5092 5947 8576 9728 10016 10184 11894 17152 20032 20368 20971 23788 34304 40064 40736 41942 47576 80128 81472 83884 95152 160256 162944 167768 190304 325888 335536 380608 398449 651776 671072 761216 796898 1342144 1522432 1593796 2684288 3044864 3187592 5368576 6375184 10737152 12750368 25500736 51001472 102002944 204005888