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103839952 = 242927717
BaseRepresentation
bin1100011000001…
…11100011010000
321020101121122011
412030013203100
5203040334302
614145352304
72400424246
oct614074320
9236347564
10103839952
1153684547
122a938694
1318689578
14db10796
1591b25d7
hex63078d0

103839952 has 30 divisors (see below), whose sum is σ = 208393718. Its totient is φ = 50123136.

The previous prime is 103839937. The next prime is 103839971. The reversal of 103839952 is 259938301.

It can be written as a sum of positive squares in 3 ways, for example, as 16679056 + 87160896 = 4084^2 + 9336^2 .

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 5 ways as a sum of consecutive naturals, for example, 9598 + ... + 17314.

Almost surely, 2103839952 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 103839952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104196859).

103839952 is an abundant number, since it is smaller than the sum of its proper divisors (104553766).

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

103839952 is an equidigital number, since it uses as much as digits as its factorization.

103839952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783 (or 7748 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 103839952 is about 10190.1890070793. The cubic root of 103839952 is about 470.0255788101.

The spelling of 103839952 in words is "one hundred three million, eight hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 7717 13456 15434 30868 61736 123472 223793 447586 895172 1790344 3580688 6489997 12979994 25959988 51919976 103839952