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104866048 = 287139421
BaseRepresentation
bin1100100000000…
…10000100000000
321022022202011201
412100002010000
5203321203143
614223350544
72412226630
oct620020400
9238282151
10104866048
1154215461
122b152454
1318958621
14dcda6c0
15931664d
hex6402100

104866048 has 72 divisors (see below), whose sum is σ = 241519040. Its totient is φ = 44513280.

The previous prime is 104866031. The next prime is 104866061. The reversal of 104866048 is 840668401.

It is a junction number, because it is equal to n+sod(n) for n = 104865998 and 104866016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248878 + ... + 249298.

Almost surely, 2104866048 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 104866048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120759520).

104866048 is an abundant number, since it is smaller than the sum of its proper divisors (136652992).

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

104866048 is an equidigital number, since it uses as much as digits as its factorization.

104866048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 104866048 is about 10240.4124916919. The cubic root of 104866048 is about 471.5686953442.

The spelling of 104866048 in words is "one hundred four million, eight hundred sixty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 256 278 421 448 556 842 896 973 1112 1684 1792 1946 2224 2947 3368 3892 4448 5894 6736 7784 8896 11788 13472 15568 17792 23576 26944 31136 35584 47152 53888 58519 62272 94304 107776 117038 124544 188608 234076 249088 377216 409633 468152 754432 819266 936304 1638532 1872608 3277064 3745216 6554128 7490432 13108256 14980864 26216512 52433024 104866048