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2523655696 = 241926612
BaseRepresentation
bin1001011001101011…
…1110111000010000
320111212200222210111
42112122332320100
520132023440241
61054230411104
7116352501532
oct22632767020
96455628714
102523655696
1110855a0971
125a5200a94
13312ac27c3
1419d24b852
15eb84ec81
hex966bee10

2523655696 has 45 divisors (see below), whose sum is σ = 5168292813. Its totient is φ = 1193607360.

The previous prime is 2523655691. The next prime is 2523655697. The reversal of 2523655696 is 6965563252.

The square root of 2523655696 is 50236.

It is a perfect power (a square), and thus also a powerful number.

2523655696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2003815696 + 519840000 = 44764^2 + 22800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2523655691) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3817606 + ... + 3818266.

Almost surely, 22523655696 is an apocalyptic number.

2523655696 is the 50236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2523655696

2523655696 is an abundant number, since it is smaller than the sum of its proper divisors (2644637117).

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

2523655696 is an frugal number, since it uses more digits than its factorization.

2523655696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 682 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 49.

The cubic root of 2523655696 is about 1361.4761394381.

Multiplying 2523655696 by its sum of digits (49), we get a square (123659129104 = 3516522).

The spelling of 2523655696 in words is "two billion, five hundred twenty-three million, six hundred fifty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 661 722 1322 1444 2644 2888 5288 5776 10576 12559 25118 50236 100472 200944 238621 436921 477242 873842 954484 1747684 1908968 3495368 3817936 6990736 8301499 16602998 33205996 66411992 132823984 157728481 315456962 630913924 1261827848 2523655696