Search a number
-
+
1429027758 = 23431727827
BaseRepresentation
bin101010100101101…
…0011101110101110
310200120222010120000
41111023103232232
510411312342013
6353445005130
750261351454
oct12513235656
93616863500
101429027758
11673715784
1233a6b37a6
1319a0a3072
14d7b0a9d4
15856ca973
hex552d3bae

1429027758 has 40 divisors (see below), whose sum is σ = 3212297352. Its totient is φ = 474822864.

The previous prime is 1429027757. The next prime is 1429027759. The reversal of 1429027758 is 8577209241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1429027757) and next prime (1429027759).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429027757) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37441 + ... + 65267.

Almost surely, 21429027758 is an apocalyptic number.

1429027758 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429027758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606148676).

1429027758 is an abundant number, since it is smaller than the sum of its proper divisors (1783269594).

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

1429027758 is a wasteful number, since it uses less digits than its factorization.

1429027758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28158 (or 28149 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1429027758 is about 37802.4834898449. The cubic root of 1429027758 is about 1126.3677870226.

The spelling of 1429027758 in words is "one billion, four hundred twenty-nine million, twenty-seven thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 317 634 951 1902 2853 5706 8559 17118 25677 27827 51354 55654 83481 166962 250443 500886 751329 1502658 2253987 4507974 8821159 17642318 26463477 52926954 79390431 158780862 238171293 476342586 714513879 1429027758