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428109066 = 232711499619
BaseRepresentation
bin11001100001000…
…110110100001010
31002211120012020100
4121201012310022
51334043442231
6110251510230
713415603250
oct3141066412
91084505210
10428109066
111aa724750
12bb458376
136a903998
1440c005d0
15278b71e6
hex19846d0a

428109066 has 96 divisors (see below), whose sum is σ = 1160640000. Its totient is φ = 110795040.

The previous prime is 428109023. The next prime is 428109067. The reversal of 428109066 is 660901824.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 428109066.

It is not an unprimeable number, because it can be changed into a prime (428109067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691305 + ... + 691923.

It is an arithmetic number, because the mean of its divisors is an integer number (12090000).

Almost surely, 2428109066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428109066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320000).

428109066 is an abundant number, since it is smaller than the sum of its proper divisors (732530934).

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

428109066 is a wasteful number, since it uses less digits than its factorization.

428109066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 428109066 is about 20690.7966497184. The cubic root of 428109066 is about 753.6762125074.

The spelling of 428109066 in words is "four hundred twenty-eight million, one hundred nine thousand, sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 499 619 693 998 1238 1386 1497 1857 2994 3493 3714 4333 4491 5489 5571 6809 6986 8666 8982 10479 10978 11142 12999 13618 16467 20427 20958 25998 31437 32934 38423 38997 40854 47663 49401 61281 62874 76846 77994 95326 98802 115269 122562 142989 230538 285978 308881 345807 428967 617762 691614 857934 926643 1853286 2162167 2779929 3397691 4324334 5559858 6486501 6795382 10193073 12973002 19459503 20386146 23783837 30579219 38919006 47567674 61158438 71351511 142703022 214054533 428109066