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104261248 = 277138951
BaseRepresentation
bin1100011011011…
…10011010000000
321021012000112201
412031232122000
5203142324443
614202402544
72404130440
oct615563200
9237160481
10104261248
1153942023
122ab00454
13187a6260
14dbc0120
15924734d
hex636e680

104261248 has 64 divisors (see below), whose sum is σ = 255669120. Its totient is φ = 41241600.

The previous prime is 104261173. The next prime is 104261263. The reversal of 104261248 is 842162401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7173 + ... + 16123.

It is an arithmetic number, because the mean of its divisors is an integer number (3994830).

Almost surely, 2104261248 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 104261248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127834560).

104261248 is an abundant number, since it is smaller than the sum of its proper divisors (151407872).

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

104261248 is an equidigital number, since it uses as much as digits as its factorization.

104261248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8985 (or 8973 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 104261248 is about 10210.8397304042. The cubic root of 104261248 is about 470.6603784690.

The spelling of 104261248 in words is "one hundred four million, two hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 8951 11648 17902 35804 62657 71608 116363 125314 143216 232726 250628 286432 465452 501256 572864 814541 930904 1002512 1145728 1629082 1861808 2005024 3258164 3723616 4010048 6516328 7447232 8020096 13032656 14894464 26065312 52130624 104261248