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2523144208 = 241310921021
BaseRepresentation
bin1001011001100100…
…0010000000010000
320111211202000011111
42112121002000100
520131411103313
61054211423104
7116345241364
oct22631020020
96454660144
102523144208
111085281652
125a4bb4a94
13312973a50
1419d1572a4
15eb79d43d
hex96642010

2523144208 has 60 divisors (see below), whose sum is σ = 5318584068. Its totient is φ = 1152714240.

The previous prime is 2523144181. The next prime is 2523144227. The reversal of 2523144208 is 8024413252.

It can be written as a sum of positive squares in 6 ways, for example, as 5914624 + 2517229584 = 2432^2 + 50172^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2523144208.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2470738 + ... + 2471758.

Almost surely, 22523144208 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 2523144208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659292034).

2523144208 is an abundant number, since it is smaller than the sum of its proper divisors (2795439860).

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

2523144208 is a wasteful number, since it uses less digits than its factorization.

2523144208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 2523144208 is about 50230.9088908413. The cubic root of 2523144208 is about 1361.3841530707.

The spelling of 2523144208 in words is "two billion, five hundred twenty-three million, one hundred forty-four thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 436 872 1021 1417 1744 2042 2834 4084 5668 8168 11336 11881 13273 16336 22672 23762 26546 47524 53092 95048 106184 111289 154453 190096 212368 222578 308906 445156 617812 890312 1235624 1446757 1780624 2471248 2893514 5787028 11574056 12130501 23148112 24261002 48522004 97044008 157696513 194088016 315393026 630786052 1261572104 2523144208