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103947248 = 24172571487
BaseRepresentation
bin1100011001000…
…01101111110000
321020121001211002
412030201233300
5203102302443
614151541132
72401352126
oct614415760
9236531732
10103947248
1153748119
122a98a7a8
13186c6362
14db3b916
1591d42b8
hex6321bf0

103947248 has 40 divisors (see below), whose sum is σ = 214218432. Its totient is φ = 48693248.

The previous prime is 103947241. The next prime is 103947289. The reversal of 103947248 is 842749301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103947241) 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 7 ways as a sum of consecutive naturals, for example, 69161 + ... + 70647.

Almost surely, 2103947248 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 103947248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107109216).

103947248 is an abundant number, since it is smaller than the sum of its proper divisors (110271184).

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

103947248 is a wasteful number, since it uses less digits than its factorization.

103947248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 103947248 is about 10195.4523195393. The cubic root of 103947248 is about 470.1874128100.

The spelling of 103947248 in words is "one hundred three million, nine hundred forty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 257 272 514 1028 1487 2056 2974 4112 4369 5948 8738 11896 17476 23792 25279 34952 50558 69904 101116 202232 382159 404464 764318 1528636 3057272 6114544 6496703 12993406 25986812 51973624 103947248