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428076099 = 3211217191217
BaseRepresentation
bin11001100000111…
…110110001000011
31002211111112000100
4121200332301003
51334041413344
6110251053443
713415405163
oct3140766103
91084445010
10428076099
111aa701a00
12bb441283
136a8c1989
1440bd25a3
15278ac569
hex1983ec43

428076099 has 72 divisors (see below), whose sum is σ = 758131920. Its totient is φ = 231137280.

The previous prime is 428076083. The next prime is 428076107. The reversal of 428076099 is 990670824.

It is a happy number.

It is a Cunningham number, because it is equal to 206902-1.

It is not a de Polignac number, because 428076099 - 24 = 428076083 is a prime.

It is a super-3 number, since 3×4280760993 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428076029) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 351139 + ... + 352355.

It is an arithmetic number, because the mean of its divisors is an integer number (10529610).

Almost surely, 2428076099 is an apocalyptic number.

428076099 is a deficient number, since it is larger than the sum of its proper divisors (330055821).

428076099 is a wasteful number, since it uses less digits than its factorization.

428076099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 428076099 is about 20689.9999758337. Note that the first 4 decimals coincide. The cubic root of 428076099 is about 753.6568661278.

The spelling of 428076099 in words is "four hundred twenty-eight million, seventy-six thousand, ninety-nine".

Divisors: 1 3 9 11 17 19 33 51 57 99 121 153 171 187 209 323 363 561 627 969 1089 1217 1683 1881 2057 2299 2907 3553 3651 6171 6897 10659 10953 13387 18513 20689 20691 23123 31977 39083 40161 62067 69369 117249 120483 147257 186201 208107 227579 254353 351747 393091 441771 682737 763059 1179273 1325313 2048211 2289177 2503369 2797883 3537819 4324001 7510107 8393649 12972003 22530321 25180947 38916009 47564011 142692033 428076099