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208468992 = 210379859
BaseRepresentation
bin11000110110011…
…11110000000000
3112112021022200210
430123033300000
5411332001432
632404114120
75110646214
oct1433176000
9475238623
10208468992
11a7747926
1259995940
1334261044
141d988944
151347d8cc
hexc6cfc00

208468992 has 88 divisors (see below), whose sum is σ = 563334400. Its totient is φ = 68530176.

The previous prime is 208468963. The next prime is 208469021. The reversal of 208468992 is 299864802.

It is an interprime number because it is at equal distance from previous prime (208468963) and next prime (208469021).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242259 + ... + 243117.

Almost surely, 2208468992 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 208468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281667200).

208468992 is an abundant number, since it is smaller than the sum of its proper divisors (354865408).

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

208468992 is an equidigital number, since it uses as much as digits as its factorization.

208468992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 208468992 is about 14438.4553190430. The cubic root of 208468992 is about 592.9441957370.

The spelling of 208468992 in words is "two hundred eight million, four hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 859 948 1024 1264 1536 1718 1896 2528 2577 3072 3436 3792 5056 5154 6872 7584 10112 10308 13744 15168 20224 20616 27488 30336 40448 41232 54976 60672 67861 80896 82464 109952 121344 135722 164928 203583 219904 242688 271444 329856 407166 439808 542888 659712 814332 879616 1085776 1319424 1628664 2171552 2638848 3257328 4343104 6514656 8686208 13029312 17372416 26058624 34744832 52117248 69489664 104234496 208468992