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2052254424 = 2331147916229
BaseRepresentation
bin111101001010010…
…1110101011011000
312022000200022211010
41322110232223120
513200334120144
6535350533520
7101566606023
oct17224565330
95260608733
102052254424
11963498140
124933672a0
1326924193c
141567bc1ba
15c02855b9
hex7a52ead8

2052254424 has 64 divisors (see below), whose sum is σ = 5609088000. Its totient is φ = 620558720.

The previous prime is 2052254423. The next prime is 2052254437. The reversal of 2052254424 is 4244522502.

It is a junction number, because it is equal to n+sod(n) for n = 2052254391 and 2052254400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052254423) 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, 118342 + ... + 134570.

It is an arithmetic number, because the mean of its divisors is an integer number (87642000).

Almost surely, 22052254424 is an apocalyptic number.

2052254424 is a gapful number since it is divisible by the number (24) 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 2052254424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804544000).

2052254424 is an abundant number, since it is smaller than the sum of its proper divisors (3556833576).

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

2052254424 is a wasteful number, since it uses less digits than its factorization.

2052254424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16728 (or 16724 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 2052254424 is about 45301.8147980851. The cubic root of 2052254424 is about 1270.7995923643.

Adding to 2052254424 its reverse (4244522502), we get a palindrome (6296776926).

The spelling of 2052254424 in words is "two billion, fifty-two million, two hundred fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 479 958 1437 1916 2874 3832 5269 5748 10538 11496 15807 16229 21076 31614 32458 42152 48687 63228 64916 97374 126456 129832 178519 194748 357038 389496 535557 714076 1071114 1428152 2142228 4284456 7773691 15547382 23321073 31094764 46642146 62189528 85510601 93284292 171021202 186568584 256531803 342042404 513063606 684084808 1026127212 2052254424