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5225832192 = 28373131357
BaseRepresentation
bin1001101110111101…
…11101111100000000
3111111012022210002110
410313132331330000
541200303112232
62222315415320
7243333561240
oct46736757400
914435283073
105225832192
112241934089
12101a154540
1365388bac9
14378089b20
15208bb4acc
hex1377bdf00

5225832192 has 144 divisors (see below), whose sum is σ = 16408512512. Its totient is φ = 1444884480.

The previous prime is 5225832187. The next prime is 5225832203. The reversal of 5225832192 is 2912385225.

It is a self number, because there is not a number n which added to its sum of digits gives 5225832192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150978 + ... + 182334.

Almost surely, 25225832192 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 5225832192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8204256256).

5225832192 is an abundant number, since it is smaller than the sum of its proper divisors (11182680320).

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

5225832192 is a wasteful number, since it uses less digits than its factorization.

5225832192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31414 (or 31400 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 5225832192 is about 72289.9176372473. The cubic root of 5225832192 is about 1735.3423007794.

The spelling of 5225832192 in words is "five billion, two hundred twenty-five million, eight hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1792 1984 2604 2688 2976 3472 3968 5208 5376 5952 6944 7936 10416 11904 13888 20832 23808 27776 31357 41664 55552 62714 83328 94071 125428 166656 188142 219499 250856 376284 438998 501712 658497 752568 877996 972067 1003424 1316994 1505136 1755992 1944134 2006848 2633988 2916201 3010272 3511984 3888268 4013696 5267976 5832402 6020544 6804469 7023968 7776536 8027392 10535952 11664804 12041088 13608938 14047936 15553072 20413407 21071904 23329608 24082176 27217876 28095872 31106144 40826814 42143808 46659216 54435752 56191744 62212288 81653628 84287616 93318432 108871504 124424576 163307256 168575232 186636864 217743008 248849152 326614512 373273728 435486016 653229024 746547456 870972032 1306458048 1741944064 2612916096 5225832192