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28312100 = 2252283121
BaseRepresentation
bin110110000000…
…0001000100100
31222021101220022
41230000020210
524221441400
62450454312
7462435365
oct154001044
958241808
1028312100
1114a88333
129594398
135b3392b
143a8db6c
152743b85
hex1b00224

28312100 has 18 divisors (see below), whose sum is σ = 61437474. Its totient is φ = 11324800.

The previous prime is 28312079. The next prime is 28312117. The reversal of 28312100 is 121382.

It can be written as a sum of positive squares in 3 ways, for example, as 30976 + 28281124 = 176^2 + 5318^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141461 + ... + 141660.

It is an arithmetic number, because the mean of its divisors is an integer number (3413193).

Almost surely, 228312100 is an apocalyptic number.

28312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28312100 is an abundant number, since it is smaller than the sum of its proper divisors (33125374).

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

28312100 is a wasteful number, since it uses less digits than its factorization.

28312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283135 (or 283128 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 28312100 is about 5320.9115760366. The cubic root of 28312100 is about 304.7829684180.

Adding to 28312100 its reverse (121382), we get a palindrome (28433482).

The spelling of 28312100 in words is "twenty-eight million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 283121 566242 1132484 1415605 2831210 5662420 7078025 14156050 28312100