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19943424 = 21232541
BaseRepresentation
bin100110000010…
…1000000000000
31101112020020100
41030011000000
520101142144
61551242400
7331342044
oct114050000
941466210
1019943424
1110291876
126819400
134193757
142912024
151b3e269
hex1305000

19943424 has 78 divisors (see below), whose sum is σ = 57713786. Its totient is φ = 6635520.

The previous prime is 19943419. The next prime is 19943437. The reversal of 19943424 is 42434991.

19943424 is a `hidden beast` number, since 199 + 43 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16257024 + 3686400 = 4032^2 + 1920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36594 + ... + 37134.

Almost surely, 219943424 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 19943424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28856893).

19943424 is an abundant number, since it is smaller than the sum of its proper divisors (37770362).

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

19943424 is an equidigital number, since it uses as much as digits as its factorization.

19943424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 546 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 19943424 is about 4465.8060862514. The cubic root of 19943424 is about 271.1855684492.

The spelling of 19943424 in words is "nineteen million, nine hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 541 576 768 1024 1082 1152 1536 1623 2048 2164 2304 3072 3246 4096 4328 4608 4869 6144 6492 8656 9216 9738 12288 12984 17312 18432 19476 25968 34624 36864 38952 51936 69248 77904 103872 138496 155808 207744 276992 311616 415488 553984 623232 830976 1107968 1246464 1661952 2215936 2492928 3323904 4985856 6647808 9971712 19943424