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28609056 = 2532723617
BaseRepresentation
bin110110100100…
…0101000100000
31222211111020200
41231020220200
524310442211
62501105200
7465113220
oct155105040
958744220
1028609056
1115170453
1296b8200
135c08b48
143b2a080
1527a1b56
hex1b48a20

28609056 has 144 divisors (see below), whose sum is σ = 97179264. Its totient is φ = 7805952.

The previous prime is 28609027. The next prime is 28609057. The reversal of 28609056 is 65090682.

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

It is a super-2 number, since 2×286090562 = 1636956170422272, which contains 22 as substring.

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 28609056.

It is not an unprimeable number, because it can be changed into a prime (28609057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46060 + ... + 46676.

It is an arithmetic number, because the mean of its divisors is an integer number (674856).

Almost surely, 228609056 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 28609056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48589632).

28609056 is an abundant number, since it is smaller than the sum of its proper divisors (68570208).

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

28609056 is a wasteful number, since it uses less digits than its factorization.

28609056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 28609056 is about 5348.7434038286. The cubic root of 28609056 is about 305.8448527876.

It can be divided in two parts, 286090 and 56, that added together give a triangular number (286146 = T756).

The spelling of 28609056 in words is "twenty-eight million, six hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 617 644 672 736 828 966 1008 1104 1234 1288 1449 1656 1851 1932 2016 2208 2468 2576 2898 3312 3702 3864 4319 4936 5152 5553 5796 6624 7404 7728 8638 9872 11106 11592 12957 14191 14808 15456 17276 19744 22212 23184 25914 28382 29616 34552 38871 42573 44424 46368 51828 56764 59232 69104 77742 85146 88848 99337 103656 113528 127719 138208 155484 170292 177696 198674 207312 227056 255438 298011 310968 340584 397348 414624 454112 510876 596022 621936 681168 794696 894033 1021752 1192044 1243872 1362336 1589392 1788066 2043504 2384088 3178784 3576132 4087008 4768176 7152264 9536352 14304528 28609056