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103894848 = 2632317569
BaseRepresentation
bin1100011000101…
…00111101000000
321020111101221100
412030110331000
5203044113343
614150454400
72401043301
oct614247500
9236441840
10103894848
1153711812
122a964400
13186a8555
14db267a8
1591c39d3
hex6314f40

103894848 has 84 divisors (see below), whose sum is σ = 299260260. Its totient is φ = 34461696.

The previous prime is 103894829. The next prime is 103894867. The reversal of 103894848 is 848498301.

It is an interprime number because it is at equal distance from previous prime (103894829) and next prime (103894867).

It can be written as a sum of positive squares in 2 ways, for example, as 10810944 + 93083904 = 3288^2 + 9648^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182308 + ... + 182876.

Almost surely, 2103894848 is an apocalyptic number.

103894848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103894848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149630130).

103894848 is an abundant number, since it is smaller than the sum of its proper divisors (195365412).

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

103894848 is a wasteful number, since it uses less digits than its factorization.

103894848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 103894848 is about 10192.8822224138. The cubic root of 103894848 is about 470.1083920822.

The spelling of 103894848 in words is "one hundred three million, eight hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 317 569 576 634 951 1138 1268 1707 1902 2276 2536 2853 3414 3804 4552 5072 5121 5706 6828 7608 9104 10144 10242 11412 13656 15216 18208 20288 20484 22824 27312 30432 36416 40968 45648 54624 60864 81936 91296 109248 163872 180373 182592 327744 360746 541119 721492 1082238 1442984 1623357 2164476 2885968 3246714 4328952 5771936 6493428 8657904 11543872 12986856 17315808 25973712 34631616 51947424 103894848