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16955442 = 2327532539
BaseRepresentation
bin100000010101…
…1100000110010
31011220102111100
41000223200302
513320033232
61403225230
7264055530
oct100534062
934812440
1016955442
119630969
125818216
13368870a
142375150
15174dc7c
hex102b832

16955442 has 48 divisors (see below), whose sum is σ = 42793920. Its totient is φ = 4751136.

The previous prime is 16955437. The next prime is 16955453. The reversal of 16955442 is 24455961.

16955442 is a `hidden beast` number, since 1 + 69 + 554 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16955397 and 16955406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5409 + ... + 7947.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 216955442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16955442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396960).

16955442 is an abundant number, since it is smaller than the sum of its proper divisors (25838478).

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

16955442 is a wasteful number, since it uses less digits than its factorization.

16955442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2604 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 16955442 is about 4117.6986290888. The cubic root of 16955442 is about 256.9033131631.

It can be divided in two parts, 169 and 55442, that added together give a triangular number (55611 = T333).

The spelling of 16955442 in words is "sixteen million, nine hundred fifty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 954 1113 2226 2539 3339 5078 6678 7617 15234 17773 22851 35546 45702 53319 106638 134567 159957 269134 319914 403701 807402 941969 1211103 1883938 2422206 2825907 5651814 8477721 16955442