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2425983903 = 327237921193
BaseRepresentation
bin1001000010011001…
…1001001110011111
320021001220202021200
42100212121032133
514432022441103
61040421130543
7114055344240
oct22046311637
96231822250
102425983903
11103544a682
12578559a53
132c87b5945
141902a4cc7
15e2eaa0a3
hex9099939f

2425983903 has 48 divisors (see below), whose sum is σ = 4232017920. Its totient is φ = 1309156992.

The previous prime is 2425983869. The next prime is 2425983907. The reversal of 2425983903 is 3093895242.

It is a happy number.

2425983903 is a `hidden beast` number, since 2 + 4 + 259 + 8 + 390 + 3 = 666.

2425983903 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2425983903 - 217 = 2425852831 is a prime.

It is a super-2 number, since 2×24259839032 = 11770795795230226818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425983907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103875 + ... + 125067.

It is an arithmetic number, because the mean of its divisors is an integer number (88167040).

Almost surely, 22425983903 is an apocalyptic number.

2425983903 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2425983903 is a deficient number, since it is larger than the sum of its proper divisors (1806034017).

2425983903 is a wasteful number, since it uses less digits than its factorization.

2425983903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21308 (or 21305 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2425983903 is about 49254.2780172443. The cubic root of 2425983903 is about 1343.6803671637.

The spelling of 2425983903 in words is "two billion, four hundred twenty-five million, nine hundred eighty-three thousand, nine hundred three".

Divisors: 1 3 7 9 21 23 63 69 79 161 207 237 483 553 711 1449 1659 1817 4977 5451 12719 16353 21193 38157 63579 114471 148351 190737 445053 487439 1335159 1462317 1674247 3412073 4386951 5022741 10236219 11719729 15068223 30708657 35159187 38507681 105477561 115523043 269553767 346569129 808661301 2425983903