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8422530048 = 210321753759
BaseRepresentation
bin1111101100000010…
…11001110000000000
3210201222110212011100
413312001121300000
5114222131430143
63511432014400
7415501216122
oct76601316000
923658425140
108422530048
113632331539
121770831400
13a42c425ba
1459c855212
1534465e6d3
hex1f6059c00

8422530048 has 132 divisors (see below), whose sum is σ = 25750932480. Its totient is φ = 2642313216.

The previous prime is 8422530037. The next prime is 8422530091. The reversal of 8422530048 is 8400352248.

8422530048 is a `hidden beast` number, since 84 + 2 + 2 + 530 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8422529994 and 8422530021.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 129793 + ... + 183551.

Almost surely, 28422530048 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 8422530048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875466240).

8422530048 is an abundant number, since it is smaller than the sum of its proper divisors (17328402432).

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

8422530048 is a wasteful number, since it uses less digits than its factorization.

8422530048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53802 (or 53781 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8422530048 is about 91774.3430812774. The cubic root of 8422530048 is about 2034.6085085431.

The spelling of 8422530048 in words is "eight billion, four hundred twenty-two million, five hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2176 2304 2448 3072 3264 4352 4608 4896 6528 8704 9216 9792 13056 17408 19584 26112 39168 52224 53759 78336 107518 156672 161277 215036 322554 430072 483831 645108 860144 913903 967662 1290216 1720288 1827806 1935324 2580432 2741709 3440576 3655612 3870648 5160864 5483418 6881152 7311224 7741296 8225127 10321728 10966836 13762304 14622448 15482592 16450254 20643456 21933672 27524608 29244896 30965184 32900508 41286912 43867344 55049216 58489792 61930368 65801016 82573824 87734688 116979584 123860736 131602032 165147648 175469376 233959168 247721472 263204064 350938752 467918336 495442944 526408128 701877504 935836672 1052816256 1403755008 2105632512 2807510016 4211265024 8422530048