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2566252032 = 29314911213
BaseRepresentation
bin1001100011110101…
…1110011000000000
320121211212002222120
42120331132120000
520223430031112
61102351404240
7120410532231
oct23075363000
96554762876
102566252032
1110a7645153
125b7523680
1331b888036
141a4b79088
15100465e8c
hex98f5e600

2566252032 has 80 divisors (see below), whose sum is σ = 6883153200. Its totient is φ = 849600512.

The previous prime is 2566252027. The next prime is 2566252049. The reversal of 2566252032 is 2302526652.

It is a junction number, because it is equal to n+sod(n) for n = 2566251984 and 2566252002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223258 + ... + 234470.

It is an arithmetic number, because the mean of its divisors is an integer number (86039415).

Almost surely, 22566252032 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 2566252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441576600).

2566252032 is an abundant number, since it is smaller than the sum of its proper divisors (4316901168).

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

2566252032 is a wasteful number, since it uses less digits than its factorization.

2566252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11383 (or 11367 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 2566252032 is about 50658.1882028957. The cubic root of 2566252032 is about 1369.0934795375.

Adding to 2566252032 its reverse (2302526652), we get a palindrome (4868778684).

The spelling of 2566252032 in words is "two billion, five hundred sixty-six million, two hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 256 298 384 447 512 596 768 894 1192 1536 1788 2384 3576 4768 7152 9536 11213 14304 19072 22426 28608 33639 38144 44852 57216 67278 76288 89704 114432 134556 179408 228864 269112 358816 538224 717632 1076448 1435264 1670737 2152896 2870528 3341474 4305792 5012211 5741056 6682948 8611584 10024422 13365896 17223168 20048844 26731792 40097688 53463584 80195376 106927168 160390752 213854336 320781504 427708672 641563008 855417344 1283126016 2566252032