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18729942 = 2371171571
BaseRepresentation
bin100011101110…
…0101111010110
31022020120122120
41013130233112
514243324232
61505240410
7315126150
oct107345726
938216576
1018729942
11a6330a0
126333106
133b5a30a
1426b7ad0
15199e92c
hex11dcbd6

18729942 has 64 divisors (see below), whose sum is σ = 47443968. Its totient is φ = 4788000.

The previous prime is 18729941. The next prime is 18729959. The reversal of 18729942 is 24992781.

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 = 18729894 and 18729903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18729941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32517 + ... + 33087.

It is an arithmetic number, because the mean of its divisors is an integer number (741312).

Almost surely, 218729942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18729942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23721984).

18729942 is an abundant number, since it is smaller than the sum of its proper divisors (28714026).

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

18729942 is a wasteful number, since it uses less digits than its factorization.

18729942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665.

The product of its digits is 72576, while the sum is 42.

The square root of 18729942 is about 4327.8103008334. The cubic root of 18729942 is about 265.5698760260.

The spelling of 18729942 in words is "eighteen million, seven hundred twenty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 71 77 142 154 213 231 426 462 497 571 781 994 1142 1491 1562 1713 2343 2982 3426 3997 4686 5467 6281 7994 10934 11991 12562 16401 18843 23982 32802 37686 40541 43967 81082 87934 121623 131901 243246 263802 283787 445951 567574 851361 891902 1337853 1702722 2675706 3121657 6243314 9364971 18729942