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19955544 = 2337271239
BaseRepresentation
bin100110000011…
…1111101011000
31101112211212020
41030013331120
520102034134
61551414440
7331422300
oct114077530
941484766
1019955544
111029a994
126824420
13419911b
142916600
151b42b49
hex1307f58

19955544 has 96 divisors (see below), whose sum is σ = 59097600. Its totient is φ = 5597760.

The previous prime is 19955539. The next prime is 19955549. The reversal of 19955544 is 44555991.

It is an interprime number because it is at equal distance from previous prime (19955539) and next prime (19955549).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 19955496 and 19955505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19955549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83377 + ... + 83615.

It is an arithmetic number, because the mean of its divisors is an integer number (615600).

Almost surely, 219955544 is an apocalyptic number.

19955544 is a gapful number since it is divisible by the number (14) 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 19955544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29548800).

19955544 is an abundant number, since it is smaller than the sum of its proper divisors (39142056).

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

19955544 is a wasteful number, since it uses less digits than its factorization.

19955544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its digits is 162000, while the sum is 42.

The square root of 19955544 is about 4467.1628580118. The cubic root of 19955544 is about 271.2404922092.

The spelling of 19955544 in words is "nineteen million, nine hundred fifty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 71 84 98 142 147 168 196 213 239 284 294 392 426 478 497 568 588 717 852 956 994 1176 1434 1491 1673 1704 1912 1988 2868 2982 3346 3479 3976 5019 5736 5964 6692 6958 10038 10437 11711 11928 13384 13916 16969 20076 20874 23422 27832 33938 35133 40152 41748 46844 50907 67876 70266 83496 93688 101814 118783 135752 140532 203628 237566 281064 356349 407256 475132 712698 831481 950264 1425396 1662962 2494443 2850792 3325924 4988886 6651848 9977772 19955544