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5783904 = 2532719151
BaseRepresentation
bin10110000100000101100000
3101212212000200
4112010011200
52440041104
6323545200
7100106460
oct26040540
911785020
105783904
1132a0595
121b2b200
131276839
14aa7ba0
15793b39
hex584160

5783904 has 144 divisors (see below), whose sum is σ = 19918080. Its totient is φ = 1555200.

The previous prime is 5783903. The next prime is 5783917. The reversal of 5783904 is 4093875.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5783903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38229 + ... + 38379.

It is an arithmetic number, because the mean of its divisors is an integer number (138320).

Almost surely, 25783904 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 5783904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9959040).

5783904 is an abundant number, since it is smaller than the sum of its proper divisors (14134176).

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

5783904 is a wasteful number, since it uses less digits than its factorization.

5783904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5783904 is about 2404.9748439433. The cubic root of 5783904 is about 179.5038186870.

The spelling of 5783904 in words is "five million, seven hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 151 152 168 171 224 228 252 266 288 302 304 336 342 399 453 456 504 532 604 608 672 684 798 906 912 1008 1057 1064 1197 1208 1359 1368 1596 1812 1824 2016 2114 2128 2394 2416 2718 2736 2869 3171 3192 3624 4228 4256 4788 4832 5436 5472 5738 6342 6384 7248 8456 8607 9513 9576 10872 11476 12684 12768 14496 16912 17214 19026 19152 20083 21744 22952 25368 25821 33824 34428 38052 38304 40166 43488 45904 50736 51642 60249 68856 76104 80332 91808 101472 103284 120498 137712 152208 160664 180747 206568 240996 275424 304416 321328 361494 413136 481992 642656 722988 826272 963984 1445976 1927968 2891952 5783904