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19243008 = 2133429
BaseRepresentation
bin100100101101…
…0000000000000
31100012122110000
41021122000000
514411234013
61524240000
7322364031
oct111320000
940178400
1019243008
11a953614
126540000
133ca99c5
1427aca88
151a51973
hex125a000

19243008 has 140 divisors (see below), whose sum is σ = 59470290. Its totient is φ = 6193152.

The previous prime is 19243001. The next prime is 19243009. The reversal of 19243008 is 80034291.

It can be written as a sum of positive squares in only one way, i.e., 16257024 + 2985984 = 4032^2 + 1728^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (19243001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663538 + ... + 663566.

Almost surely, 219243008 is an apocalyptic number.

19243008 is a gapful number since it is divisible by the number (18) 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 19243008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29735145).

19243008 is an abundant number, since it is smaller than the sum of its proper divisors (40227282).

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

19243008 is an frugal number, since it uses more digits than its factorization.

19243008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 19243008 is about 4386.6853089776. The cubic root of 19243008 is about 267.9729682396.

Adding to 19243008 its reverse (80034291), we get a palindrome (99277299).

The spelling of 19243008 in words is "nineteen million, two hundred forty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 256 261 288 324 348 384 432 464 512 522 576 648 696 768 783 864 928 1024 1044 1152 1296 1392 1536 1566 1728 1856 2048 2088 2304 2349 2592 2784 3072 3132 3456 3712 4096 4176 4608 4698 5184 5568 6144 6264 6912 7424 8192 8352 9216 9396 10368 11136 12288 12528 13824 14848 16704 18432 18792 20736 22272 24576 25056 27648 29696 33408 36864 37584 41472 44544 50112 55296 59392 66816 73728 75168 82944 89088 100224 110592 118784 133632 150336 165888 178176 200448 221184 237568 267264 300672 331776 356352 400896 534528 601344 663552 712704 801792 1069056 1202688 1603584 2138112 2405376 3207168 4810752 6414336 9621504 19243008