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428019460 = 2251119102397
BaseRepresentation
bin11001100000110…
…000111100000100
31002211101122022121
4121200300330010
51334033110320
6110245535324
713415051101
oct3140607404
91084348277
10428019460
111aa6733a0
12bb414544
136a8a1c6b
1440bb9aa8
152789a8aa
hex19830f04

428019460 has 48 divisors (see below), whose sum is σ = 1032171840. Its totient is φ = 147450240.

The previous prime is 428019413. The next prime is 428019461. The reversal of 428019460 is 64910824.

It is not an unprimeable number, because it can be changed into a prime (428019461) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47019 + ... + 55378.

It is an arithmetic number, because the mean of its divisors is an integer number (21503580).

Almost surely, 2428019460 is an apocalyptic number.

It is an amenable number.

428019460 is an abundant number, since it is smaller than the sum of its proper divisors (604152380).

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

428019460 is a wasteful number, since it uses less digits than its factorization.

428019460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102436 (or 102434 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 428019460 is about 20688.6311775332. The cubic root of 428019460 is about 753.6236257343.

The spelling of 428019460 in words is "four hundred twenty-eight million, nineteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 102397 204794 409588 511985 1023970 1126367 1945543 2047940 2252734 3891086 4505468 5631835 7782172 9727715 11263670 19455430 21400973 22527340 38910860 42801946 85603892 107004865 214009730 428019460