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208428096 = 2632773919
BaseRepresentation
bin11000110110001…
…01110001000000
3112112012020121010
430123011301000
5411324144341
632403200520
75110416042
oct1433056100
9475166533
10208428096
11a771a128
1259976140
1334248546
141d977a92
1513471716
hexc6c5c40

208428096 has 56 divisors (see below), whose sum is σ = 553598080. Its totient is φ = 69207552.

The previous prime is 208428083. The next prime is 208428107. The reversal of 208428096 is 690824802.

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 7 ways as a sum of consecutive naturals, for example, 51225 + ... + 55143.

It is an arithmetic number, because the mean of its divisors is an integer number (9885680).

Almost surely, 2208428096 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 208428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276799040).

208428096 is an abundant number, since it is smaller than the sum of its proper divisors (345169984).

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

208428096 is a wasteful number, since it uses less digits than its factorization.

208428096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 208428096 is about 14437.0390316020. The cubic root of 208428096 is about 592.9054199756.

The spelling of 208428096 in words is "two hundred eight million, four hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 277 554 831 1108 1662 2216 3324 3919 4432 6648 7838 8864 11757 13296 15676 17728 23514 26592 31352 47028 53184 62704 94056 125408 188112 250816 376224 752448 1085563 2171126 3256689 4342252 6513378 8684504 13026756 17369008 26053512 34738016 52107024 69476032 104214048 208428096