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428148580 = 22542150849
BaseRepresentation
bin11001100001010…
…000011101100100
31002211122012102211
4121201100131210
51334101223310
6110252413204
713416126406
oct3141203544
91084565384
10428148580
111aa751402
12bb477204
136a918972
1440c10b76
15278c3c8a
hex19850764

428148580 has 24 divisors (see below), whose sum is σ = 901265400. Its totient is φ = 170849280.

The previous prime is 428148557. The next prime is 428148583. The reversal of 428148580 is 85841824.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 427083556 = 1032^2 + 20666^2 .

It is a super-2 number, since 2×4281485802 = 366622413112032800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (428148583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17005 + ... + 33844.

It is an arithmetic number, because the mean of its divisors is an integer number (37552725).

Almost surely, 2428148580 is an apocalyptic number.

It is an amenable number.

428148580 is an abundant number, since it is smaller than the sum of its proper divisors (473116820).

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

428148580 is a wasteful number, since it uses less digits than its factorization.

428148580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51279 (or 51277 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 428148580 is about 20691.7514966713. The cubic root of 428148580 is about 753.6993996249.

The spelling of 428148580 in words is "four hundred twenty-eight million, one hundred forty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 421 842 1684 2105 4210 8420 50849 101698 203396 254245 508490 1016980 21407429 42814858 85629716 107037145 214074290 428148580