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19281312 = 253266949
BaseRepresentation
bin100100110001…
…1010110100000
31100021120222200
41021203112200
514414000222
61525133200
7322613511
oct111432640
940246880
1019281312
11a97a376
12655a200
133cc127b
1427bca08
151a5ceac
hex12635a0

19281312 has 36 divisors (see below), whose sum is σ = 54832050. Its totient is φ = 6427008.

The previous prime is 19281299. The next prime is 19281323. The reversal of 19281312 is 21318291.

It can be written as a sum of positive squares in only one way, i.e., 11861136 + 7420176 = 3444^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33187 + ... + 33762.

Almost surely, 219281312 is an apocalyptic number.

19281312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19281312 is an abundant number, since it is smaller than the sum of its proper divisors (35550738).

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

19281312 is a wasteful number, since it uses less digits than its factorization.

19281312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66965 (or 66954 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 19281312 is about 4391.0490773846. The cubic root of 19281312 is about 268.1506541382.

It can be divided in two parts, 1928 and 1312, that added together give a triangular number (3240 = T80).

The spelling of 19281312 in words is "nineteen million, two hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 66949 133898 200847 267796 401694 535592 602541 803388 1071184 1205082 1606776 2142368 2410164 3213552 4820328 6427104 9640656 19281312