Search a number
-
+
1426213692 = 2232374432417
BaseRepresentation
bin101010100000010…
…0100101100111100
310200101200011101100
41111000210230330
510410102314232
6353304413100
750225421261
oct12500445474
93611604340
101426213692
11672073502
12339777190
13199629237
14d75b7268
1585321c7c
hex55024b3c

1426213692 has 72 divisors (see below), whose sum is σ = 3712481136. Its totient is φ = 461320704.

The previous prime is 1426213673. The next prime is 1426213699. The reversal of 1426213692 is 2963126241.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426213699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588868 + ... + 591284.

It is an arithmetic number, because the mean of its divisors is an integer number (51562238).

Almost surely, 21426213692 is an apocalyptic number.

1426213692 is a gapful number since it is divisible by the number (12) 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 1426213692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856240568).

1426213692 is an abundant number, since it is smaller than the sum of its proper divisors (2286267444).

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

1426213692 is a wasteful number, since it uses less digits than its factorization.

1426213692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2902 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1426213692 is about 37765.2444980832. The cubic root of 1426213692 is about 1125.6279469120.

The spelling of 1426213692 in words is "one billion, four hundred twenty-six million, two hundred thirteen thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 443 444 666 886 1329 1332 1772 2417 2658 3987 4834 5316 7251 7974 9668 14502 15948 16391 21753 29004 32782 43506 49173 65564 87012 89429 98346 147519 178858 196692 268287 295038 357716 536574 590076 804861 1070731 1073148 1609722 2141462 3212193 3219444 4282924 6424386 9636579 12848772 19273158 38546316 39617047 79234094 118851141 158468188 237702282 356553423 475404564 713106846 1426213692