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18745944 = 2337241463
BaseRepresentation
bin100011110000…
…0101001011000
31022021101121020
41013200221120
514244332234
61505442440
7315223620
oct107405130
938241536
1018745944
11a644118
126340420
133b64699
1426bd880
1519a4549
hex11e0a58

18745944 has 64 divisors (see below), whose sum is σ = 53898240. Its totient is φ = 5322240.

The previous prime is 18745921. The next prime is 18745949. The reversal of 18745944 is 44954781.

It is a super-2 number, since 2×187459442 = 702820832902272, which contains 22 as substring.

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

Its product of digits (161280) is a multiple of the sum of its prime factors (720).

It is a junction number, because it is equal to n+sod(n) for n = 18745896 and 18745905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18745949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40257 + ... + 40719.

It is an arithmetic number, because the mean of its divisors is an integer number (842160).

Almost surely, 218745944 is an apocalyptic number.

18745944 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 18745944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26949120).

18745944 is an abundant number, since it is smaller than the sum of its proper divisors (35152296).

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

18745944 is a wasteful number, since it uses less digits than its factorization.

18745944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 716 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 18745944 is about 4329.6586470529. The cubic root of 18745944 is about 265.6454847224.

The spelling of 18745944 in words is "eighteen million, seven hundred forty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 241 463 482 723 926 964 1389 1446 1687 1852 1928 2778 2892 3241 3374 3704 5061 5556 5784 6482 6748 9723 10122 11112 12964 13496 19446 20244 25928 38892 40488 77784 111583 223166 334749 446332 669498 781081 892664 1338996 1562162 2343243 2677992 3124324 4686486 6248648 9372972 18745944