Search a number
-
+
19542264 = 2337891307
BaseRepresentation
bin100101010001…
…1000011111000
31100202211221120
41022203003320
520000323024
61534505240
7325051350
oct112430370
940684846
1019542264
1110038435
126665220
134082c91
142849b60
151ab0479
hex12a30f8

19542264 has 64 divisors (see below), whose sum is σ = 56505600. Its totient is φ = 5516544.

The previous prime is 19542247. The next prime is 19542277. The reversal of 19542264 is 46224591.

It is a nialpdrome in base 12.

It is a congruent number.

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, 14299 + ... + 15605.

It is an arithmetic number, because the mean of its divisors is an integer number (882900).

Almost surely, 219542264 is an apocalyptic number.

19542264 is a gapful number since it is divisible by the number (14) 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 19542264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28252800).

19542264 is an abundant number, since it is smaller than the sum of its proper divisors (36963336).

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

19542264 is a wasteful number, since it uses less digits than its factorization.

19542264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1408 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 19542264 is about 4420.6632986465. The cubic root of 19542264 is about 269.3549484880.

The spelling of 19542264 in words is "nineteen million, five hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 534 623 712 1068 1246 1307 1869 2136 2492 2614 3738 3921 4984 5228 7476 7842 9149 10456 14952 15684 18298 27447 31368 36596 54894 73192 109788 116323 219576 232646 348969 465292 697938 814261 930584 1395876 1628522 2442783 2791752 3257044 4885566 6514088 9771132 19542264