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104435552 = 25131973181
BaseRepresentation
bin1100011100110…
…00111101100000
321021111212122102
412032120331200
5203213414202
614210225532
72405454554
oct616307540
9237455572
10104435552
1153a50a81
122ab852a8
13188376b0
14dc27864
15927dd02
hex6398f60

104435552 has 96 divisors (see below), whose sum is σ = 237575520. Its totient is φ = 44789760.

The previous prime is 104435543. The next prime is 104435557. The reversal of 104435552 is 255534401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104435557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576902 + ... + 577082.

It is an arithmetic number, because the mean of its divisors is an integer number (2474745).

Almost surely, 2104435552 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 104435552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118787760).

104435552 is an abundant number, since it is smaller than the sum of its proper divisors (133139968).

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

104435552 is a wasteful number, since it uses less digits than its factorization.

104435552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 104435552 is about 10219.3714092404. The cubic root of 104435552 is about 470.9225158516.

Adding to 104435552 its reverse (255534401), we get a palindrome (359969953).

The spelling of 104435552 in words is "one hundred four million, four hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 73 76 104 146 152 181 208 247 292 304 362 416 494 584 608 724 949 988 1168 1387 1448 1898 1976 2336 2353 2774 2896 3439 3796 3952 4706 5548 5792 6878 7592 7904 9412 11096 13213 13756 15184 18031 18824 22192 26426 27512 30368 36062 37648 44384 44707 52852 55024 72124 75296 89414 105704 110048 144248 171769 178828 211408 251047 288496 343538 357656 422816 502094 576992 687076 715312 1004188 1374152 1430624 2008376 2748304 3263611 4016752 5496608 6527222 8033504 13054444 26108888 52217776 104435552