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28211424 = 253714139
BaseRepresentation
bin110101110011…
…1100011100000
31222002021210120
41223213203200
524210231144
62444400240
7461536023
oct153474340
958067716
1028211424
1114a1972a
129546080
135ac9b67
143a651ba
152723e19
hex1ae78e0

28211424 has 48 divisors (see below), whose sum is σ = 75116160. Its totient is φ = 9269120.

The previous prime is 28211419. The next prime is 28211437. The reversal of 28211424 is 42411282.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28211394 and 28211403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4747 + ... + 8885.

It is an arithmetic number, because the mean of its divisors is an integer number (1564920).

Almost surely, 228211424 is an apocalyptic number.

28211424 is a gapful number since it is divisible by the number (24) 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 28211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37558080).

28211424 is an abundant number, since it is smaller than the sum of its proper divisors (46904736).

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

28211424 is a wasteful number, since it uses less digits than its factorization.

28211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4215 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 28211424 is about 5311.4427418546. The cubic root of 28211424 is about 304.4212765071.

It can be divided in two parts, 2821 and 1424, that multiplied together give a palindrome (4017104).

The spelling of 28211424 in words is "twenty-eight million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 4139 6816 8278 12417 16556 24834 33112 49668 66224 99336 132448 198672 293869 397344 587738 881607 1175476 1763214 2350952 3526428 4701904 7052856 9403808 14105712 28211424