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204542028 = 223217615479
BaseRepresentation
bin11000011000100…
…01000001001100
3112020212210220200
430030101001030
5404330321103
632144013500
75032402305
oct1414210114
9466783820
10204542028
11a55054a9
1258601290
13334b77b2
141d2457ac
1512e550a3
hexc31104c

204542028 has 72 divisors (see below), whose sum is σ = 556526880. Its totient is φ = 63106560.

The previous prime is 204542027. The next prime is 204542029. The reversal of 204542028 is 820245402.

It is a happy number.

204542028 is a `hidden beast` number, since 2 + 0 + 454 + 202 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (204542027) and next prime (204542029).

It is a junction number, because it is equal to n+sod(n) for n = 204541992 and 204542010.

It is not an unprimeable number, because it can be changed into a prime (204542027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34593 + ... + 40071.

It is an arithmetic number, because the mean of its divisors is an integer number (7729540).

Almost surely, 2204542028 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 204542028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278263440).

204542028 is an abundant number, since it is smaller than the sum of its proper divisors (351984852).

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

204542028 is a wasteful number, since it uses less digits than its factorization.

204542028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 204542028 is about 14301.8190451425. The cubic root of 204542028 is about 589.1974417892.

The spelling of 204542028 in words is "two hundred four million, five hundred forty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 1037 1098 2074 2196 3111 4148 5479 6222 9333 10958 12444 16437 18666 21916 32874 37332 49311 65748 93143 98622 186286 197244 279429 334219 372572 558858 668438 838287 1002657 1117716 1336876 1676574 2005314 3007971 3353148 4010628 5681723 6015942 11363446 12031884 17045169 22726892 34090338 51135507 68180676 102271014 204542028