Search a number
-
+
2520438912 = 27323496269
BaseRepresentation
bin1001011000111010…
…1101100010000000
320111122122120012100
42112032231202000
520130213021122
61054033430400
7116313243255
oct22616554200
96448576170
102520438912
1110837a4072
125a410b400
13312237594
1419ca5142c
15eb416aac
hex963ad880

2520438912 has 96 divisors (see below), whose sum is σ = 7274767500. Its totient is φ = 837605376.

The previous prime is 2520438871. The next prime is 2520438919. The reversal of 2520438912 is 2198340252.

It is a happy number.

2520438912 is a `hidden beast` number, since 2 + 520 + 43 + 8 + 91 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2518433856 + 2005056 = 50184^2 + 1416^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×25204389122 = 12705224618247487488, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2520438919) 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 11 ways as a sum of consecutive naturals, for example, 398914 + ... + 405182.

Almost surely, 22520438912 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 2520438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637383750).

2520438912 is an abundant number, since it is smaller than the sum of its proper divisors (4754328588).

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

2520438912 is a wasteful number, since it uses less digits than its factorization.

2520438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2520438912 is about 50203.9730698677. The cubic root of 2520438912 is about 1360.8974238339.

The spelling of 2520438912 in words is "two billion, five hundred twenty million, four hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 349 384 576 698 1047 1152 1396 2094 2792 3141 4188 5584 6269 6282 8376 11168 12538 12564 16752 18807 22336 25076 25128 33504 37614 44672 50152 50256 56421 67008 75228 100304 100512 112842 134016 150456 200608 201024 225684 300912 401216 402048 451368 601824 802432 902736 1203648 1805472 2187881 2407296 3610944 4375762 6563643 7221888 8751524 13127286 17503048 19690929 26254572 35006096 39381858 52509144 70012192 78763716 105018288 140024384 157527432 210036576 280048768 315054864 420073152 630109728 840146304 1260219456 2520438912