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5727456 = 25337947
BaseRepresentation
bin10101110110010011100000
3101202222121000
4111312103200
52431234311
6322432000
766453060
oct25662340
911688530
105727456
113262139
121b02600
131256c37
14a913a0
15782056
hex5764e0

5727456 has 96 divisors (see below), whose sum is σ = 19111680. Its totient is φ = 1634688.

The previous prime is 5727443. The next prime is 5727461. The reversal of 5727456 is 6547275.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 5727456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5575 + ... + 6521.

It is an arithmetic number, because the mean of its divisors is an integer number (199080).

Almost surely, 25727456 is an apocalyptic number.

5727456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5727456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555840).

5727456 is an abundant number, since it is smaller than the sum of its proper divisors (13384224).

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

5727456 is a wasteful number, since it uses less digits than its factorization.

5727456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 959 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 5727456 is about 2393.2103960998. The cubic root of 5727456 is about 178.9179528897.

Subtracting from 5727456 its sum of digits (36), we obtain a triangular number (5727420 = T3384).

The spelling of 5727456 in words is "five million, seven hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 947 1008 1512 1894 2016 2841 3024 3788 5682 6048 6629 7576 8523 11364 13258 15152 17046 19887 22728 25569 26516 30304 34092 39774 45456 51138 53032 59661 68184 79548 90912 102276 106064 119322 136368 159096 178983 204552 212128 238644 272736 318192 357966 409104 477288 636384 715932 818208 954576 1431864 1909152 2863728 5727456