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5126784 = 27313279
BaseRepresentation
bin10011100011101010000000
3100122110121220
4103203222000
52303024114
6301515040
761401615
oct23435200
910573556
105126784
112991913
121872a80
1310a6700
1497650c
156b40a9
hex4e3a80

5126784 has 96 divisors (see below), whose sum is σ = 14932800. Its totient is φ = 1557504.

The previous prime is 5126783. The next prime is 5126791. The reversal of 5126784 is 4876215.

5126784 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (5126783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64857 + ... + 64935.

It is an arithmetic number, because the mean of its divisors is an integer number (155550).

Almost surely, 25126784 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 5126784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7466400).

5126784 is an abundant number, since it is smaller than the sum of its proper divisors (9806016).

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

5126784 is a wasteful number, since it uses less digits than its factorization.

5126784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 5126784 is about 2264.2402699360. The cubic root of 5126784 is about 172.4308649652.

The spelling of 5126784 in words is "five million, one hundred twenty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 169 192 208 237 312 316 338 384 416 474 507 624 632 676 832 948 1014 1027 1248 1264 1352 1664 1896 2028 2054 2496 2528 2704 3081 3792 4056 4108 4992 5056 5408 6162 7584 8112 8216 10112 10816 12324 13351 15168 16224 16432 21632 24648 26702 30336 32448 32864 40053 49296 53404 64896 65728 80106 98592 106808 131456 160212 197184 213616 320424 394368 427232 640848 854464 1281696 1708928 2563392 5126784