Search a number
-
+
2512425330 = 233557716127
BaseRepresentation
bin1001010111000000…
…1001000101110010
320111002120102122000
42111300021011302
520121140102310
61053145554430
7116155156122
oct22560110562
96432512560
102512425330
11107a220378
125a14a5a16
1331068cc0c
1419b966c82
15ea8824c0
hex95c09172

2512425330 has 64 divisors (see below), whose sum is σ = 6711828480. Its totient is φ = 668777472.

The previous prime is 2512425323. The next prime is 2512425397. The reversal of 2512425330 is 335242152.

It is a happy number.

2512425330 is a `hidden beast` number, since 2 + 5 + 124 + 2 + 533 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2512425294 and 2512425303.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 147727 + ... + 163853.

It is an arithmetic number, because the mean of its divisors is an integer number (104872320).

Almost surely, 22512425330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2512425330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355914240).

2512425330 is an abundant number, since it is smaller than the sum of its proper divisors (4199403150).

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

2512425330 is a wasteful number, since it uses less digits than its factorization.

2512425330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16720 (or 16714 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2512425330 is about 50124.0992936531. The cubic root of 2512425330 is about 1359.4535957411.

Adding to 2512425330 its reverse (335242152), we get a palindrome (2847667482).

The spelling of 2512425330 in words is "two billion, five hundred twelve million, four hundred twenty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 577 1154 1731 2885 3462 5193 5770 8655 10386 15579 16127 17310 25965 31158 32254 48381 51930 77895 80635 96762 145143 155790 161270 241905 290286 435429 483810 725715 870858 1451430 2177145 4354290 9305279 18610558 27915837 46526395 55831674 83747511 93052790 139579185 167495022 251242533 279158370 418737555 502485066 837475110 1256212665 2512425330