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2568408948 = 2232710192099
BaseRepresentation
bin1001100100010110…
…1100111101110100
320121222220200201100
42121011230331310
520230003041243
61102505530100
7120435054510
oct23105547564
96558820640
102568408948
1110a8888726
125b81a3930
1331c161a11
141a517b140
151007400d3
hex9916cf74

2568408948 has 36 divisors (see below), whose sum is σ = 7419848800. Its totient is φ = 733831056.

The previous prime is 2568408937. The next prime is 2568408949. The reversal of 2568408948 is 8498048652.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 2568408894 and 2568408903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568408949) 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 11 ways as a sum of consecutive naturals, for example, 5095798 + ... + 5096301.

Almost surely, 22568408948 is an apocalyptic number.

2568408948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2568408948 is an abundant number, since it is smaller than the sum of its proper divisors (4851439852).

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

2568408948 is a wasteful number, since it uses less digits than its factorization.

2568408948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10192116 (or 10192111 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2568408948 is about 50679.4726491900. The cubic root of 2568408948 is about 1369.4769431322.

The spelling of 2568408948 in words is "two billion, five hundred sixty-eight million, four hundred eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 10192099 20384198 30576297 40768396 61152594 71344693 91728891 122305188 142689386 183457782 214034079 285378772 366915564 428068158 642102237 856136316 1284204474 2568408948