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428345747 = 192943101179
BaseRepresentation
bin11001100010000…
…000100110010011
31002212000012220022
4121202000212103
51334124030442
6110300534055
713420610264
oct3142004623
91085005808
10428345747
111aa876555
12bb55132b
136a98762b
1440c6296b
15279123d2
hex19880993

428345747 has 32 divisors (see below), whose sum is σ = 484704000. Its totient is φ = 376790400.

The previous prime is 428345711. The next prime is 428345761. The reversal of 428345747 is 747543824.

It is a cyclic number.

It is not a de Polignac number, because 428345747 - 210 = 428344723 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 428345698 and 428345707.

It is not an unprimeable number, because it can be changed into a prime (428344747) 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 31 ways as a sum of consecutive naturals, for example, 2392904 + ... + 2393082.

It is an arithmetic number, because the mean of its divisors is an integer number (15147000).

Almost surely, 2428345747 is an apocalyptic number.

428345747 is a deficient number, since it is larger than the sum of its proper divisors (56358253).

428345747 is a wasteful number, since it uses less digits than its factorization.

428345747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371.

The product of its digits is 752640, while the sum is 44.

The square root of 428345747 is about 20696.5153347127. The cubic root of 428345747 is about 753.8150774145.

The spelling of 428345747 in words is "four hundred twenty-eight million, three hundred forty-five thousand, seven hundred forty-seven".

Divisors: 1 19 29 43 101 179 551 817 1247 1919 2929 3401 4343 5191 7697 18079 23693 55651 82517 98629 125947 146243 223213 343501 524291 777397 2392993 4241047 9961529 14770543 22544513 428345747