Search a number
-
+
208100592 = 24327431479
BaseRepresentation
bin11000110011101…
…01110011110000
3112111120121100100
430121311303300
5411233204332
632352152400
75104553160
oct1431656360
9474517310
10208100592
11a7516067
1259838700
133416245b
141d8d05a0
151340967c
hexc675cf0

208100592 has 120 divisors (see below), whose sum is σ = 668528640. Its totient is φ = 59195520.

The previous prime is 208100561. The next prime is 208100609. The reversal of 208100592 is 295001802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434209 + ... + 434687.

It is an arithmetic number, because the mean of its divisors is an integer number (5571072).

Almost surely, 2208100592 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 208100592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334264320).

208100592 is an abundant number, since it is smaller than the sum of its proper divisors (460428048).

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

208100592 is a wasteful number, since it uses less digits than its factorization.

208100592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 208100592 is about 14425.6920804515. The cubic root of 208100592 is about 592.5947122000.

The spelling of 208100592 in words is "two hundred eight million, one hundred thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 431 479 504 862 958 1008 1293 1437 1724 1916 2586 2874 3017 3353 3448 3832 3879 4311 5172 5748 6034 6706 6896 7664 7758 8622 9051 10059 10344 11496 12068 13412 15516 17244 18102 20118 20688 22992 24136 26824 27153 30177 31032 34488 36204 40236 48272 53648 54306 60354 62064 68976 72408 80472 108612 120708 144816 160944 206449 217224 241416 412898 434448 482832 619347 825796 1238694 1445143 1651592 1858041 2477388 2890286 3303184 3716082 4335429 4954776 5780572 7432164 8670858 9909552 11561144 13006287 14864328 17341716 23122288 26012574 29728656 34683432 52025148 69366864 104050296 208100592