Search a number
-
+
208931496 = 233174311909
BaseRepresentation
bin11000111010000…
…00101010101000
3112120010211010120
430131000222220
5411441301441
632422043240
75114613504
oct1435005250
9476124116
10208931496
11a7a33364
1259b79520
1334393707
141da69304
1513520966
hexc740aa8

208931496 has 64 divisors (see below), whose sum is σ = 565963200. Its totient is φ = 64017408.

The previous prime is 208931477. The next prime is 208931509. The reversal of 208931496 is 694139802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11590 + ... + 23498.

It is an arithmetic number, because the mean of its divisors is an integer number (8843175).

Almost surely, 2208931496 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 208931496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282981600).

208931496 is an abundant number, since it is smaller than the sum of its proper divisors (357031704).

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

208931496 is a wasteful number, since it uses less digits than its factorization.

208931496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11978 (or 11974 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 208931496 is about 14454.4628402442. The cubic root of 208931496 is about 593.3823688240.

The spelling of 208931496 in words is "two hundred eight million, nine hundred thirty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 68 86 102 129 136 172 204 258 344 408 516 731 1032 1462 2193 2924 4386 5848 8772 11909 17544 23818 35727 47636 71454 95272 142908 202453 285816 404906 512087 607359 809812 1024174 1214718 1536261 1619624 2048348 2429436 3072522 4096696 4858872 6145044 8705479 12290088 17410958 26116437 34821916 52232874 69643832 104465748 208931496