[go: up one dir, main page]

Search a number
-
+
19242336 = 253227883
BaseRepresentation
bin100100101100…
…1110101100000
31100012121112010
41021121311200
514411223321
61524232520
7322362051
oct111316540
940177463
1019242336
11a953063
12653b740
133ca95c9
1427ac728
151a51676
hex1259d60

19242336 has 48 divisors (see below), whose sum is σ = 50791104. Its totient is φ = 6378624.

The previous prime is 19242323. The next prime is 19242337. The reversal of 19242336 is 63324291.

19242336 = T293 + T294 + ... + T519.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19242337) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21351 + ... + 22233.

It is an arithmetic number, because the mean of its divisors is an integer number (1058148).

Almost surely, 219242336 is an apocalyptic number.

19242336 is a gapful number since it is divisible by the number (16) 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 19242336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25395552).

19242336 is an abundant number, since it is smaller than the sum of its proper divisors (31548768).

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

19242336 is a wasteful number, since it uses less digits than its factorization.

19242336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1115 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 19242336 is about 4386.6087128897. The cubic root of 19242336 is about 267.9698488394.

The spelling of 19242336 in words is "nineteen million, two hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 681 883 908 1362 1766 1816 2649 2724 3532 3632 5298 5448 7064 7264 10596 10896 14128 21192 21792 28256 42384 84768 200441 400882 601323 801764 1202646 1603528 2405292 3207056 4810584 6414112 9621168 19242336