[go: up one dir, main page]

Search a number
-
+
2029456156 = 2271313940111
BaseRepresentation
bin111100011110111…
…0000101100011100
312020102210001110211
41320331300230130
513124020044111
6533214142204
7101202043540
oct17075605434
95212701424
102029456156
119516364a2
124877b1964
132645bb940
14153765a20
15bd280521
hex78f70b1c

2029456156 has 48 divisors (see below), whose sum is σ = 4402693120. Its totient is φ = 797065920.

The previous prime is 2029456133. The next prime is 2029456159. The reversal of 2029456156 is 6516549202.

It is a super-3 number, since 3×20294561563 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029456159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30541 + ... + 70651.

Almost surely, 22029456156 is an apocalyptic number.

2029456156 is a gapful number since it is divisible by the number (26) 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 2029456156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201346560).

2029456156 is an abundant number, since it is smaller than the sum of its proper divisors (2373236964).

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

2029456156 is a wasteful number, since it uses less digits than its factorization.

2029456156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40274 (or 40272 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 2029456156 is about 45049.4856352434. The cubic root of 2029456156 is about 1266.0763347361.

The spelling of 2029456156 in words is "two billion, twenty-nine million, four hundred fifty-six thousand, one hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 139 182 278 364 556 973 1807 1946 3614 3892 7228 12649 25298 40111 50596 80222 160444 280777 521443 561554 1042886 1123108 2085772 3650101 5575429 7300202 11150858 14600404 22301716 39028003 72480577 78056006 144961154 156112012 289922308 507364039 1014728078 2029456156