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5825692224 = 2632118910331
BaseRepresentation
bin1010110110011110…
…10000001001000000
3120001000001211100200
411123033100021000
543412334122344
62402024445200
7264236365302
oct53317201100
916030054320
105825692224
11251a4a6880
121167019800
1371ac38a81
143d39d7972
152416a6069
hex15b3d0240

5825692224 has 168 divisors, whose sum is σ = 18422782560. Its totient is φ = 1745356800.

The previous prime is 5825692207. The next prime is 5825692283. The reversal of 5825692224 is 4222965285.

It is a happy number.

5825692224 is a `hidden beast` number, since 5 + 82 + 569 + 2 + 2 + 2 + 4 = 666.

It is a super-3 number, since 3×58256922243 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5825692224.

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 23 ways as a sum of consecutive naturals, for example, 558739 + ... + 569069.

It is an arithmetic number, because the mean of its divisors is an integer number (109659420).

Almost surely, 25825692224 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 5825692224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9211391280).

5825692224 is an abundant number, since it is smaller than the sum of its proper divisors (12597090336).

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

5825692224 is a wasteful number, since it uses less digits than its factorization.

5825692224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10449 (or 10436 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 5825692224 is about 76326.2223878530. Note that the first 3 decimals coincide. The cubic root of 5825692224 is about 1799.3508177480.

The spelling of 5825692224 in words is "five billion, eight hundred twenty-five million, six hundred ninety-two thousand, two hundred twenty-four".