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257240416 = 2561131783
BaseRepresentation
bin11110101010100…
…10110101100000
3122221001011111211
433111102311200
51011323143131
641305315504
76242336026
oct1725226540
9587034454
10257240416
11122229594
1272195b94
13413a9184
1426242716
15178b45b1
hexf552d60

257240416 has 24 divisors (see below), whose sum is σ = 514748304. Its totient is φ = 126510720.

The previous prime is 257240407. The next prime is 257240453. The reversal of 257240416 is 614042752.

257240416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63940 + ... + 67843.

It is an arithmetic number, because the mean of its divisors is an integer number (21447846).

Almost surely, 2257240416 is an apocalyptic number.

It is an amenable number.

257240416 is an abundant number, since it is smaller than the sum of its proper divisors (257507888).

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

257240416 is a wasteful number, since it uses less digits than its factorization.

257240416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131854 (or 131846 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 257240416 is about 16038.7161580969. The cubic root of 257240416 is about 635.9843093053.

The spelling of 257240416 in words is "two hundred fifty-seven million, two hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 131783 263566 527132 1054264 2108528 4217056 8038763 16077526 32155052 64310104 128620208 257240416