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428494815 = 32576779257
BaseRepresentation
bin11001100010100…
…100111111011111
31002212021210101100
4121202210333133
51334143313230
6110304044143
713422101010
oct3142447737
91085253340
10428494815
111aa968551
12bb603653
136aa0a438
1440ca1007
1527941660
hex198a4fdf

428494815 has 96 divisors (see below), whose sum is σ = 875796480. Its totient is φ = 189775872.

The previous prime is 428494811. The next prime is 428494849. The reversal of 428494815 is 518494824.

It is not a de Polignac number, because 428494815 - 22 = 428494811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428494811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1667167 + ... + 1667423.

It is an arithmetic number, because the mean of its divisors is an integer number (9122880).

Almost surely, 2428494815 is an apocalyptic number.

428494815 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

428494815 is an abundant number, since it is smaller than the sum of its proper divisors (447301665).

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

428494815 is a wasteful number, since it uses less digits than its factorization.

428494815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 418 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 428494815 is about 20700.1163040211. The cubic root of 428494815 is about 753.9025119804.

Subtracting 428494815 from its reverse (518494824), we obtain a palindrome (90000009).

It can be divided in two parts, 4284 and 94815, that added together give a palindrome (99099).

The spelling of 428494815 in words is "four hundred twenty-eight million, four hundred ninety-four thousand, eight hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 63 67 79 105 201 237 257 315 335 395 469 553 603 711 771 1005 1185 1285 1407 1659 1799 2313 2345 2765 3015 3555 3855 4221 4977 5293 5397 7035 8295 8995 11565 15879 16191 17219 20303 21105 24885 26465 26985 37051 47637 51657 60909 79395 80955 86095 101515 111153 120533 142121 154971 182727 185255 238185 258285 304545 333459 361599 426363 555765 602665 710605 774855 913635 1084797 1279089 1360301 1667295 1807995 2131815 4080903 5423985 6395445 6801505 9522107 12242709 20404515 28566321 47610535 61213545 85698963 142831605 428494815