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19142424 = 23327191999
BaseRepresentation
bin100100100000…
…1011100011000
31100000112110200
41021001130120
514400024144
61522142200
7321464550
oct111013430
940015420
1019142424
11a894a94
1264b1960
133c72ca2
142784160
151a31c69
hex1241718

19142424 has 96 divisors (see below), whose sum is σ = 62400000. Its totient is φ = 5178816.

The previous prime is 19142413. The next prime is 19142437. The reversal of 19142424 is 42424191.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8577 + ... + 10575.

It is an arithmetic number, because the mean of its divisors is an integer number (650000).

Almost surely, 219142424 is an apocalyptic number.

19142424 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 19142424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31200000).

19142424 is an abundant number, since it is smaller than the sum of its proper divisors (43257576).

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

19142424 is a wasteful number, since it uses less digits than its factorization.

19142424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2030 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 19142424 is about 4375.2055951692. The cubic root of 19142424 is about 267.5052504283.

The spelling of 19142424 in words is "nineteen million, one hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 1999 2394 3192 3998 4788 5997 7996 9576 11994 13993 15992 17991 23988 27986 35982 37981 41979 47976 55972 71964 75962 83958 111944 113943 125937 143928 151924 167916 227886 251874 265867 303848 335832 341829 455772 503748 531734 683658 797601 911544 1007496 1063468 1367316 1595202 2126936 2392803 2734632 3190404 4785606 6380808 9571212 19142424