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18780444 = 22331753193
BaseRepresentation
bin100011110100…
…1000100011100
31022100010221000
41013221010130
514301433234
61510310300
7315426324
oct107510434
938303830
1018780444
11a668031
126358390
133b772b7
1426cc284
1519ae899
hex11e911c

18780444 has 96 divisors (see below), whose sum is σ = 52799040. Its totient is φ = 5750784.

The previous prime is 18780431. The next prime is 18780473. The reversal of 18780444 is 44408781.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18780399 and 18780408.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 97212 + ... + 97404.

It is an arithmetic number, because the mean of its divisors is an integer number (549990).

Almost surely, 218780444 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 18780444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26399520).

18780444 is an abundant number, since it is smaller than the sum of its proper divisors (34018596).

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

18780444 is a wasteful number, since it uses less digits than its factorization.

18780444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 18780444 is about 4333.6409634394. The cubic root of 18780444 is about 265.8083493344.

The spelling of 18780444 in words is "eighteen million, seven hundred eighty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 53 54 68 102 106 108 153 159 193 204 212 306 318 386 459 477 579 612 636 772 901 918 954 1158 1431 1737 1802 1836 1908 2316 2703 2862 3281 3474 3604 5211 5406 5724 6562 6948 8109 9843 10229 10422 10812 13124 16218 19686 20458 20844 24327 29529 30687 32436 39372 40916 48654 59058 61374 88587 92061 97308 118116 122748 173893 177174 184122 276183 347786 354348 368244 521679 552366 695572 1043358 1104732 1565037 2086716 3130074 4695111 6260148 9390222 18780444