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19942656 = 283231129
BaseRepresentation
bin100110000010…
…0110100000000
31101112012011220
41030010310000
520101131111
61551235040
7331336566
oct114046400
941465156
1019942656
1110291238
126818a80
1341932b6
142911a36
151b3de06
hex1304d00

19942656 has 72 divisors (see below), whose sum is σ = 55433280. Its totient is φ = 6352896.

The previous prime is 19942621. The next prime is 19942661. The reversal of 19942656 is 65624991.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17100 + ... + 18228.

Almost surely, 219942656 is an apocalyptic number.

19942656 is a gapful number since it is divisible by the number (16) 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 19942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27716640).

19942656 is an abundant number, since it is smaller than the sum of its proper divisors (35490624).

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

19942656 is a wasteful number, since it uses less digits than its factorization.

19942656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1157 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 19942656 is about 4465.7200987075. The cubic root of 19942656 is about 271.1820873821.

The spelling of 19942656 in words is "nineteen million, nine hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1129 1472 2208 2258 2944 3387 4416 4516 5888 6774 8832 9032 13548 17664 18064 25967 27096 36128 51934 54192 72256 77901 103868 108384 144512 155802 207736 216768 289024 311604 415472 433536 623208 830944 867072 1246416 1661888 2492832 3323776 4985664 6647552 9971328 19942656