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5552627248 = 247233122243
BaseRepresentation
bin1010010101111011…
…00101111000110000
3112022222020200122001
411022331211320300
542332433032443
62314552023344
7254412360430
oct51275457060
915288220561
105552627248
11239a34a043
1210ab691b54
136a64abb6c
143a96362c0
15227717d4d
hex14af65e30

5552627248 has 120 divisors (see below), whose sum is σ = 13262793984. Its totient is φ = 2201823360.

The previous prime is 5552627243. The next prime is 5552627257. The reversal of 5552627248 is 8427262555.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 5552627198 and 5552627207.

It is not an unprimeable number, because it can be changed into a prime (5552627243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2474415 + ... + 2476657.

Almost surely, 25552627248 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 5552627248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631396992).

5552627248 is an abundant number, since it is smaller than the sum of its proper divisors (7710166736).

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

5552627248 is a wasteful number, since it uses less digits than its factorization.

5552627248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2306 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 46.

The square root of 5552627248 is about 74515.9529765271. The cubic root of 5552627248 is about 1770.7863815029.

The spelling of 5552627248 in words is "five billion, five hundred fifty-two million, six hundred twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 56 62 92 112 124 161 184 217 248 322 368 434 496 644 713 868 961 1288 1426 1736 1922 2243 2576 2852 3472 3844 4486 4991 5704 6727 7688 8972 9982 11408 13454 15376 15701 17944 19964 22103 26908 31402 35888 39928 44206 51589 53816 62804 69533 79856 88412 103178 107632 125608 139066 154721 176824 206356 251216 278132 309442 353648 361123 412712 486731 556264 618884 722246 825424 973462 1112528 1237768 1444492 1599259 1946924 2155523 2475536 2888984 3198518 3893848 4311046 5777968 6397036 7787696 8622092 11194813 12794072 15088661 17244184 22389626 25588144 30177322 34488368 44779252 49577029 60354644 89558504 99154058 120709288 179117008 198308116 241418576 347039203 396616232 694078406 793232464 1388156812 2776313624 5552627248