Search a number
-
+
2450135352 = 2337232632411
BaseRepresentation
bin1001001000001010…
…0001100100111000
320022202100202211210
42102002201210320
520004213312402
61043042523120
7114500543520
oct22202414470
96282322753
102450135352
111048045a55
125846664a0
133007c0842
14193590680
15e517b06c
hex920a1938

2450135352 has 128 divisors (see below), whose sum is σ = 7335567360. Its totient is φ = 666779520.

The previous prime is 2450135351. The next prime is 2450135371. The reversal of 2450135352 is 2535310542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450135351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015027 + ... + 1017437.

It is an arithmetic number, because the mean of its divisors is an integer number (57309120).

Almost surely, 22450135352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2450135352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667783680).

2450135352 is an abundant number, since it is smaller than the sum of its proper divisors (4885432008).

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

2450135352 is a wasteful number, since it uses less digits than its factorization.

2450135352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2450135352 is about 49498.8419258471. The cubic root of 2450135352 is about 1348.1245750086.

Adding to 2450135352 its reverse (2535310542), we get a palindrome (4985445894).

The spelling of 2450135352 in words is "two billion, four hundred fifty million, one hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 263 276 322 483 526 552 644 789 966 1052 1288 1578 1841 1932 2104 2411 3156 3682 3864 4822 5523 6049 6312 7233 7364 9644 11046 12098 14466 14728 16877 18147 19288 22092 24196 28932 33754 36294 42343 44184 48392 50631 55453 57864 67508 72588 84686 101262 110906 127029 135016 145176 166359 169372 202524 221812 254058 332718 338744 388171 405048 443624 508116 634093 665436 776342 1016232 1164513 1268186 1330872 1552684 1902279 2329026 2536372 3105368 3804558 4438651 4658052 5072744 7609116 8877302 9316104 13315953 14584139 15218232 17754604 26631906 29168278 35509208 43752417 53263812 58336556 87504834 102088973 106527624 116673112 175009668 204177946 306266919 350019336 408355892 612533838 816711784 1225067676 2450135352