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5403456 = 26335359
BaseRepresentation
bin10100100111001101000000
3101011112011000
4110213031000
52340402311
6311452000
763633342
oct24471500
911145130
105403456
113060773
121987000
131172616
14a09292
1571b056
hex527340

5403456 has 112 divisors (see below), whose sum is σ = 16459200. Its totient is φ = 1737216.

The previous prime is 5403451. The next prime is 5403479. The reversal of 5403456 is 6543045.

5403456 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5403451) 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, 91555 + ... + 91613.

Almost surely, 25403456 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 5403456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8229600).

5403456 is an abundant number, since it is smaller than the sum of its proper divisors (11055744).

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

5403456 is a wasteful number, since it uses less digits than its factorization.

5403456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5403456 is about 2324.5335015869. The cubic root of 5403456 is about 175.4784837381.

The spelling of 5403456 in words is "five million, four hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 59 64 72 96 106 108 118 144 159 177 192 212 216 236 288 318 354 424 432 472 477 531 576 636 708 848 864 944 954 1062 1272 1416 1431 1593 1696 1728 1888 1908 2124 2544 2832 2862 3127 3186 3392 3776 3816 4248 5088 5664 5724 6254 6372 7632 8496 9381 10176 11328 11448 12508 12744 15264 16992 18762 22896 25016 25488 28143 30528 33984 37524 45792 50032 50976 56286 75048 84429 91584 100064 101952 112572 150096 168858 200128 225144 300192 337716 450288 600384 675432 900576 1350864 1801152 2701728 5403456