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104781408 = 2532961617
BaseRepresentation
bin1100011111011…
…01011001100000
321022011110001220
412033231121200
5203311001113
614221455040
72411425104
oct617553140
9238143056
10104781408
1154167906
122b111480
1318928c44
14dcb7904
1592eb523
hex63ed660

104781408 has 96 divisors (see below), whose sum is σ = 289668960. Its totient is φ = 33116160.

The previous prime is 104781407. The next prime is 104781431. The reversal of 104781408 is 804187401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104781407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169516 + ... + 170132.

It is an arithmetic number, because the mean of its divisors is an integer number (3017385).

Almost surely, 2104781408 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 104781408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144834480).

104781408 is an abundant number, since it is smaller than the sum of its proper divisors (184887552).

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

104781408 is a wasteful number, since it uses less digits than its factorization.

104781408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 104781408 is about 10236.2790114377. The cubic root of 104781408 is about 471.4417895808.

The spelling of 104781408 in words is "one hundred four million, seven hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 61 87 96 116 122 174 183 232 244 348 366 464 488 617 696 732 928 976 1234 1392 1464 1769 1851 1952 2468 2784 2928 3538 3702 4936 5307 5856 7076 7404 9872 10614 14152 14808 17893 19744 21228 28304 29616 35786 37637 42456 53679 56608 59232 71572 75274 84912 107358 112911 143144 150548 169824 214716 225822 286288 301096 429432 451644 572576 602192 858864 903288 1091473 1204384 1717728 1806576 2182946 3274419 3613152 4365892 6548838 8731784 13097676 17463568 26195352 34927136 52390704 104781408