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19893344 = 2523151179
BaseRepresentation
bin100101111100…
…0110001100000
31101102200112112
41023320301200
520043041334
61550214452
7331043042
oct113706140
941380475
1019893344
1110258189
1267b4428
134176a13
1428dba92
151b2e4ce
hex12f8c60

19893344 has 48 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 9398400.

The previous prime is 19893337. The next prime is 19893347. The reversal of 19893344 is 44339891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19893347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111047 + ... + 111225.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 219893344 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 19893344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

19893344 is an abundant number, since it is smaller than the sum of its proper divisors (21474976).

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

19893344 is a wasteful number, since it uses less digits than its factorization.

19893344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 19893344 is about 4460.1955114098. The cubic root of 19893344 is about 270.9583865153.

The spelling of 19893344 in words is "nineteen million, eight hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 92 151 179 184 302 358 368 604 716 736 1208 1432 2416 2864 3473 4117 4832 5728 6946 8234 13892 16468 27029 27784 32936 54058 55568 65872 108116 111136 131744 216232 432464 621667 864928 1243334 2486668 4973336 9946672 19893344