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2552990724 = 22349781233
BaseRepresentation
bin1001100000101011…
…1000110000000100
320120220220100220000
42120022320300010
520212031200344
61101155241300
7120160030434
oct23012706004
96526810800
102552990724
1110a0107799
125b2ba9230
13318bc3bcb
141a30c62c4
15ee1e6a69
hex982b8c04

2552990724 has 60 divisors (see below), whose sum is σ = 6742909404. Its totient is φ = 842213376.

The previous prime is 2552990719. The next prime is 2552990729. The reversal of 2552990724 is 4270992552.

2552990724 is a `hidden beast` number, since 2 + 552 + 9 + 90 + 7 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2552990719) and next prime (2552990729).

It can be written as a sum of positive squares in 2 ways, for example, as 1327290624 + 1225700100 = 36432^2 + 35010^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2552990724.

It is not an unprimeable number, because it can be changed into a prime (2552990729) 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 19 ways as a sum of consecutive naturals, for example, 9189 + ... + 72044.

Almost surely, 22552990724 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 2552990724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371454702).

2552990724 is an abundant number, since it is smaller than the sum of its proper divisors (4189918680).

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

2552990724 is a wasteful number, since it uses less digits than its factorization.

2552990724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81346 (or 81335 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2552990724 is about 50527.1285944491. The cubic root of 2552990724 is about 1366.7311064070.

The spelling of 2552990724 in words is "two billion, five hundred fifty-two million, nine hundred ninety thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 291 324 388 582 873 1164 1746 2619 3492 5238 7857 10476 15714 31428 81233 162466 243699 324932 487398 731097 974796 1462194 2193291 2924388 4386582 6579873 7879601 8773164 13159746 15759202 23638803 26319492 31518404 47277606 70916409 94555212 141832818 212749227 283665636 425498454 638247681 850996908 1276495362 2552990724