Search a number
-
+
204612048 = 24332320593
BaseRepresentation
bin11000011001000…
…10000111010000
3112021000100222000
430030202013100
5404340041143
632145314000
75033113404
oct1414420720
9467010860
10204612048
11a5553073
1258635900
1333510624
141d263104
1512e6abd3
hexc3221d0

204612048 has 80 divisors (see below), whose sum is σ = 612877440. Its totient is φ = 65235456.

The previous prime is 204612047. The next prime is 204612049. The reversal of 204612048 is 840216402.

204612048 is a `hidden beast` number, since 2 + 0 + 4 + 612 + 0 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (204612047) and next prime (204612049).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204612047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361 + ... + 20232.

It is an arithmetic number, because the mean of its divisors is an integer number (7660968).

Almost surely, 2204612048 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 204612048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306438720).

204612048 is an abundant number, since it is smaller than the sum of its proper divisors (408265392).

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

204612048 is a wasteful number, since it uses less digits than its factorization.

204612048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20633 (or 20621 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 204612048 is about 14304.2667760357. The cubic root of 204612048 is about 589.2646666013.

The spelling of 204612048 in words is "two hundred four million, six hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 20593 41186 61779 82372 123558 164744 185337 247116 329488 370674 473639 494232 556011 741348 947278 988464 1112022 1420917 1482696 1894556 2224044 2841834 2965392 3789112 4262751 4448088 5683668 7578224 8525502 8896176 11367336 12788253 17051004 22734672 25576506 34102008 51153012 68204016 102306024 204612048