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19923008 = 26726353
BaseRepresentation
bin100110000000…
…0000001000000
31101111012020012
41030000001000
520100014013
61551004052
7331225400
oct114000100
941435205
1019923008
11102784a6
126809628
134187381
142908800
151b381a8
hex1300040

19923008 has 42 divisors (see below), whose sum is σ = 45996606. Its totient is φ = 8537088.

The previous prime is 19922993. The next prime is 19923011. The reversal of 19923008 is 80032991.

It can be written as a sum of positive squares in only one way, i.e., 16711744 + 3211264 = 4088^2 + 1792^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41 + ... + 6312.

Almost surely, 219923008 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 19923008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22998303).

19923008 is an abundant number, since it is smaller than the sum of its proper divisors (26073598).

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

19923008 is an equidigital number, since it uses as much as digits as its factorization.

19923008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6379 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 19923008 is about 4463.5196874216. The cubic root of 19923008 is about 271.0929996760.

Adding to 19923008 its reverse (80032991), we get a palindrome (99955999).

The spelling of 19923008 in words is "nineteen million, nine hundred twenty-three thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 6353 12706 25412 44471 50824 88942 101648 177884 203296 311297 355768 406592 622594 711536 1245188 1423072 2490376 2846144 4980752 9961504 19923008