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8364559428 = 22325312773433
BaseRepresentation
bin1111100101001000…
…10000110001000100
3210120221101122102100
413302210100301010
5114112311400203
63502001312100
7414165403431
oct76244206104
923527348370
108364559428
113602637335
121755335630
13a33c26264
14594c84b88
1533e50cea3
hex1f2910c44

8364559428 has 72 divisors (see below), whose sum is σ = 21565835928. Its totient is φ = 2732640768.

The previous prime is 8364559409. The next prime is 8364559447. The reversal of 8364559428 is 8249554638.

8364559428 is a `hidden beast` number, since 8 + 3 + 6 + 45 + 594 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (8364559409) and next prime (8364559447).

It can be written as a sum of positive squares in 4 ways, for example, as 1927385604 + 6437173824 = 43902^2 + 80232^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2434800 + ... + 2438232.

It is an arithmetic number, because the mean of its divisors is an integer number (299525499).

Almost surely, 28364559428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8364559428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10782917964).

8364559428 is an abundant number, since it is smaller than the sum of its proper divisors (13201276500).

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

8364559428 is a wasteful number, since it uses less digits than its factorization.

8364559428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4768 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 8364559428 is about 91457.9653611428. The cubic root of 8364559428 is about 2029.9298209943.

The spelling of 8364559428 in words is "eight billion, three hundred sixty-four million, five hundred fifty-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1277 1908 2554 3433 3831 5108 6866 7662 10299 11493 13732 15324 20598 22986 30897 41196 45972 61794 67681 123588 135362 181949 203043 270724 363898 406086 545847 609129 727796 812172 1091694 1218258 1637541 2183388 2436516 3275082 4383941 6550164 8767882 13151823 17535764 26303646 39455469 52607292 78910938 157821876 232348873 464697746 697046619 929395492 1394093238 2091139857 2788186476 4182279714 8364559428