Search a number
-
+
18927942 = 23112337337
BaseRepresentation
bin100100000110…
…1000101000110
31022121122020220
41020031011012
514321143232
61513405210
7316612335
oct110150506
938548226
1018927942
11a758930
126409806
133bc9487
142729d1c
1519dd42c
hex120d146

18927942 has 64 divisors (see below), whose sum is σ = 44388864. Its totient is φ = 5322240.

The previous prime is 18927913. The next prime is 18927973. The reversal of 18927942 is 24972981.

It is a junction number, because it is equal to n+sod(n) for n = 18927894 and 18927903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55998 + ... + 56334.

It is an arithmetic number, because the mean of its divisors is an integer number (693576).

Almost surely, 218927942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18927942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22194432).

18927942 is an abundant number, since it is smaller than the sum of its proper divisors (25460922).

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

18927942 is a wasteful number, since it uses less digits than its factorization.

18927942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413.

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

The square root of 18927942 is about 4350.6254722741. The cubic root of 18927942 is about 266.5024047411.

The spelling of 18927942 in words is "eighteen million, nine hundred twenty-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 37 46 66 69 74 111 138 222 253 337 407 506 674 759 814 851 1011 1221 1518 1702 2022 2442 2553 3707 5106 7414 7751 9361 11121 12469 15502 18722 22242 23253 24938 28083 37407 46506 56166 74814 85261 137159 170522 255783 274318 286787 411477 511566 573574 822954 860361 1720722 3154657 6309314 9463971 18927942