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5608674048 = 28341593019
BaseRepresentation
bin1010011100100110…
…11001001100000000
3112110212201011101110
411032103121030000
542441310032143
62324313203320
7255662641245
oct51623311400
915425634343
105608674048
112418a4a90a
121106400540
136b4ca3653
143b2c655cc
1522c5d9533
hex14e4d9300

5608674048 has 144 divisors (see below), whose sum is σ = 15555657600. Its totient is φ = 1792450560.

The previous prime is 5608674041. The next prime is 5608674073. The reversal of 5608674048 is 8404768065.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5608673988 and 5608674006.

It is not an unprimeable number, because it can be changed into a prime (5608674041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1856283 + ... + 1859301.

It is an arithmetic number, because the mean of its divisors is an integer number (108025400).

Almost surely, 25608674048 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 5608674048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777828800).

5608674048 is an abundant number, since it is smaller than the sum of its proper divisors (9946983552).

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

5608674048 is a wasteful number, since it uses less digits than its factorization.

5608674048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 5608674048 is about 74891.0812313456. The cubic root of 5608674048 is about 1776.7244021583.

The spelling of 5608674048 in words is "five billion, six hundred eight million, six hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 59 64 82 96 118 123 128 164 177 192 236 246 256 328 354 384 472 492 656 708 768 944 984 1312 1416 1888 1968 2419 2624 2832 3019 3776 3936 4838 5248 5664 6038 7257 7552 7872 9057 9676 10496 11328 12076 14514 15104 15744 18114 19352 22656 24152 29028 31488 36228 38704 45312 48304 58056 72456 77408 96608 116112 123779 144912 154816 178121 193216 232224 247558 289824 309632 356242 371337 386432 464448 495116 534363 579648 619264 712484 742674 772864 928896 990232 1068726 1159296 1424968 1485348 1857792 1980464 2137452 2318592 2849936 2970696 3960928 4274904 5699872 5941392 7302961 7921856 8549808 11399744 11882784 14605922 15843712 17099616 21908883 22799488 23765568 29211844 31687424 34199232 43817766 45598976 47531136 58423688 68398464 87635532 95062272 116847376 136796928 175271064 233694752 350542128 467389504 701084256 934779008 1402168512 1869558016 2804337024 5608674048