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28010016 = 2533171907
BaseRepresentation
bin110101011011…
…0011000100000
31221201001112000
41222312120200
524132310031
62440204000
7460036566
oct152663040
957631460
1028010016
11148a1381
129469600
135a59298
143a11a36
1526d43e6
hex1ab6620

28010016 has 96 divisors (see below), whose sum is σ = 86546880. Its totient is φ = 8782848.

The previous prime is 28009981. The next prime is 28010053. The reversal of 28010016 is 61001082.

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 (18).

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, 13735 + ... + 15641.

It is an arithmetic number, because the mean of its divisors is an integer number (901530).

Almost surely, 228010016 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 28010016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43273440).

28010016 is an abundant number, since it is smaller than the sum of its proper divisors (58536864).

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

28010016 is a wasteful number, since it uses less digits than its factorization.

28010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 28010016 is about 5292.4489605475. The cubic root of 28010016 is about 303.6951005796.

Adding to 28010016 its reverse (61001082), we get a palindrome (89011098).

It can be divided in two parts, 280 and 10016, that added together give a triangular number (10296 = T143).

The spelling of 28010016 in words is "twenty-eight million, ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 1907 2448 3672 3814 4896 5721 7344 7628 11442 14688 15256 17163 22884 30512 32419 34326 45768 51489 61024 64838 68652 91536 97257 102978 129676 137304 183072 194514 205956 259352 274608 291771 389028 411912 518704 549216 583542 778056 823824 875313 1037408 1167084 1556112 1647648 1750626 2334168 3112224 3501252 4668336 7002504 9336672 14005008 28010016