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104257248 = 2535979233
BaseRepresentation
bin1100011011011…
…01011011100000
321021011211001120
412031231123200
5203142212443
614202332240
72404112664
oct615553340
9237154046
10104257248
115393a017
122aaba080
13187a44a4
14dbbc8a4
159246083
hex636d6e0

104257248 has 96 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 33586176.

The previous prime is 104257217. The next prime is 104257253. The reversal of 104257248 is 842752401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447340 + ... + 447572.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2104257248 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 104257248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

104257248 is an abundant number, since it is smaller than the sum of its proper divisors (178789152).

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

104257248 is a wasteful number, since it uses less digits than its factorization.

104257248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 104257248 is about 10210.6438582491. The cubic root of 104257248 is about 470.6543594043.

The spelling of 104257248 in words is "one hundred four million, two hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 79 96 118 158 177 233 236 237 316 354 466 472 474 632 699 708 932 944 948 1264 1398 1416 1864 1888 1896 2528 2796 2832 3728 3792 4661 5592 5664 7456 7584 9322 11184 13747 13983 18407 18644 22368 27494 27966 36814 37288 41241 54988 55221 55932 73628 74576 82482 109976 110442 111864 147256 149152 164964 219952 220884 223728 294512 329928 439904 441768 447456 589024 659856 883536 1086013 1319712 1767072 2172026 3258039 4344052 6516078 8688104 13032156 17376208 26064312 34752416 52128624 104257248