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2554632416 = 25714976541
BaseRepresentation
bin1001100001000100…
…1001100011100000
320121000222202212102
42120101021203200
520212441214131
61101254345532
7120210005630
oct23021114340
96530882772
102554632416
1110a1029166
125b365b2a8
1331934a21b
141a33d26c0
15ee41d1cb
hex984498e0

2554632416 has 48 divisors (see below), whose sum is σ = 5786575200. Its totient is φ = 1087480320.

The previous prime is 2554632397. The next prime is 2554632419. The reversal of 2554632416 is 6142364552.

It is a super-2 number, since 2×25546324162 = 13052293561755994112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2554632416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2554632419) 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 7 ways as a sum of consecutive naturals, for example, 4895 + ... + 71646.

It is an arithmetic number, because the mean of its divisors is an integer number (120553650).

Almost surely, 22554632416 is an apocalyptic number.

It is an amenable number.

2554632416 is an abundant number, since it is smaller than the sum of its proper divisors (3231942784).

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

2554632416 is a wasteful number, since it uses less digits than its factorization.

2554632416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76707 (or 76699 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 2554632416 is about 50543.3716326879. The cubic root of 2554632416 is about 1367.0240008972.

Adding to 2554632416 its reverse (6142364552), we get a palindrome (8696996968).

The spelling of 2554632416 in words is "two billion, five hundred fifty-four million, six hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 149 224 298 596 1043 1192 2086 2384 4172 4768 8344 16688 33376 76541 153082 306164 535787 612328 1071574 1224656 2143148 2449312 4286296 8572592 11404609 17145184 22809218 45618436 79832263 91236872 159664526 182473744 319329052 364947488 638658104 1277316208 2554632416