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104968548 = 22341272551
BaseRepresentation
bin1100100000110…
…11000101100100
321022111221210000
412100123011210
5203332443143
614225501300
72413134516
oct620330544
9238457700
10104968548
1154285473
122b1a1830
1318993189
14dd25bb6
159336bd3
hex641b164

104968548 has 60 divisors (see below), whose sum is σ = 276677632. Its totient is φ = 34700400.

The previous prime is 104968543. The next prime is 104968571. The reversal of 104968548 is 845869401.

104968548 is a `hidden beast` number, since 1 + 0 + 49 + 68 + 548 = 666.

It is a super-2 number, since 2×1049685482 = 22036792138456608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104968543) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 39873 + ... + 42423.

Almost surely, 2104968548 is an apocalyptic number.

104968548 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 104968548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138338816).

104968548 is an abundant number, since it is smaller than the sum of its proper divisors (171709084).

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

104968548 is a wasteful number, since it uses less digits than its factorization.

104968548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 104968548 is about 10245.4159505605. The cubic root of 104968548 is about 471.7222882764.

It can be divided in two parts, 10496 and 8548, that added together give a square (19044 = 1382).

The spelling of 104968548 in words is "one hundred four million, nine hundred sixty-eight thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 254 324 381 508 762 1143 1524 2286 2551 3429 4572 5102 6858 7653 10204 10287 13716 15306 20574 22959 30612 41148 45918 68877 91836 137754 206631 275508 323977 413262 647954 826524 971931 1295908 1943862 2915793 3887724 5831586 8747379 11663172 17494758 26242137 34989516 52484274 104968548