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1052098208 = 2572673997
BaseRepresentation
bin111110101101011…
…011111010100000
32201022201010102022
4332231123322200
54123314120313
6252222041012
735033454500
oct7655337240
92638633368
101052098208
1149a977a57
12254419168
13139c7b625
149da2da00
1562572c08
hex3eb5bea0

1052098208 has 72 divisors (see below), whose sum is σ = 2415493332. Its totient is φ = 449777664.

The previous prime is 1052098199. The next prime is 1052098237. The reversal of 1052098208 is 8028902501.

It can be written as a sum of positive squares in 2 ways, for example, as 1038643984 + 13454224 = 32228^2 + 3668^2 .

It is a super-2 number, since 2×10520982082 = 2213821278553622528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1054766 + ... + 1055762.

Almost surely, 21052098208 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 1052098208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207746666).

1052098208 is an abundant number, since it is smaller than the sum of its proper divisors (1363395124).

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

1052098208 is an equidigital number, since it uses as much as digits as its factorization.

1052098208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 1052098208 is about 32436.0633862989. The cubic root of 1052098208 is about 1017.0729257084.

The spelling of 1052098208 in words is "one billion, fifty-two million, ninety-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 673 784 997 1346 1568 1994 2692 3988 4711 5384 6979 7976 9422 10768 13958 15952 18844 21536 27916 31904 32977 37688 48853 55832 65954 75376 97706 111664 131908 150752 195412 223328 263816 390824 527632 670981 781648 1055264 1341962 1563296 2683924 4696867 5367848 9393734 10735696 18787468 21471392 32878069 37574936 65756138 75149872 131512276 150299744 263024552 526049104 1052098208