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204891024 = 243131013251
BaseRepresentation
bin11000011011001…
…10001110010000
3112021112112122110
430031212032100
5404423003044
632155305320
75035354632
oct1415461620
9467475573
10204891024
11a5723728
125874b240
13335aa5c0
141d2d6a52
1512ec36b9
hexc366390

204891024 has 80 divisors (see below), whose sum is σ = 575838144. Its totient is φ = 62400000.

The previous prime is 204891023. The next prime is 204891047. The reversal of 204891024 is 420198402.

It is a junction number, because it is equal to n+sod(n) for n = 204890982 and 204891000.

It is not an unprimeable number, because it can be changed into a prime (204891023) 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, 61399 + ... + 64649.

Almost surely, 2204891024 is an apocalyptic number.

204891024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204891024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287919072).

204891024 is an abundant number, since it is smaller than the sum of its proper divisors (370947120).

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

204891024 is a wasteful number, since it uses less digits than its factorization.

204891024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 204891024 is about 14314.0149503904. The cubic root of 204891024 is about 589.5323537447.

The spelling of 204891024 in words is "two hundred four million, eight hundred ninety-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 101 104 156 202 208 303 312 404 606 624 808 1212 1313 1616 2424 2626 3251 3939 4848 5252 6502 7878 9753 10504 13004 15756 19506 21008 26008 31512 39012 42263 52016 63024 78024 84526 126789 156048 169052 253578 328351 338104 507156 656702 676208 985053 1014312 1313404 1970106 2028624 2626808 3940212 4268563 5253616 7880424 8537126 12805689 15760848 17074252 25611378 34148504 51222756 68297008 102445512 204891024