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19141248 = 27377121
BaseRepresentation
bin100100100000…
…1001010000000
31100000110212010
41021001022000
514400004443
61522132520
7321461250
oct111011200
940013763
1019141248
11a894115
1264b1140
133c725a9
142783960
151a31733
hex1241280

19141248 has 64 divisors (see below), whose sum is σ = 58115520. Its totient is φ = 5468160.

The previous prime is 19141231. The next prime is 19141259. The reversal of 19141248 is 84214191.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 873 + ... + 6248.

It is an arithmetic number, because the mean of its divisors is an integer number (908055).

Almost surely, 219141248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29057760).

19141248 is an abundant number, since it is smaller than the sum of its proper divisors (38974272).

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

19141248 is an equidigital number, since it uses as much as digits as its factorization.

19141248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7145 (or 7133 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 19141248 is about 4375.0711994206. The cubic root of 19141248 is about 267.4997723234.

The spelling of 19141248 in words is "nineteen million, one hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 7121 14242 21363 28484 42726 49847 56968 85452 99694 113936 149541 170904 199388 227872 299082 341808 398776 455744 598164 683616 797552 911488 1196328 1367232 1595104 2392656 2734464 3190208 4785312 6380416 9570624 19141248