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2572678976 = 26718131727
BaseRepresentation
bin1001100101010111…
…1111011101000000
320122021221122002112
42121111333131000
520232101211401
61103141234452
7120516260540
oct23125773500
96567848075
102572678976
11110023487a
125b9702a28
1331ccc846a
141a596d320
15100cd53bb
hex9957f740

2572678976 has 56 divisors (see below), whose sum is σ = 5866887936. Its totient is φ = 1096450560.

The previous prime is 2572678973. The next prime is 2572678981. The reversal of 2572678976 is 6798762752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×25726789762 = 13237354227104817152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572678973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65225 + ... + 96951.

It is an arithmetic number, because the mean of its divisors is an integer number (104765856).

Almost surely, 22572678976 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 2572678976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933443968).

2572678976 is an abundant number, since it is smaller than the sum of its proper divisors (3294208960).

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

2572678976 is a wasteful number, since it uses less digits than its factorization.

2572678976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31927 (or 31917 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 59.

The square root of 2572678976 is about 50721.5829405984. The cubic root of 2572678976 is about 1370.2354499693.

The spelling of 2572678976 in words is "two billion, five hundred seventy-two million, six hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 181 224 362 448 724 1267 1448 2534 2896 5068 5792 10136 11584 20272 31727 40544 63454 81088 126908 222089 253816 444178 507632 888356 1015264 1776712 2030528 3553424 5742587 7106848 11485174 14213696 22970348 40198109 45940696 80396218 91881392 160792436 183762784 321584872 367525568 643169744 1286339488 2572678976