Search a number
-
+
257364276 = 223131649771
BaseRepresentation
bin11110101011100…
…01000100110100
3122221021110102020
433111301010310
51011341124101
641312113140
76243363111
oct1725610464
9587243366
10257364276
11122303654
12722357b0
1341420670
1426275908
15178db136
hexf571134

257364276 has 24 divisors (see below), whose sum is σ = 646710624. Its totient is φ = 79188960.

The previous prime is 257364251. The next prime is 257364277. The reversal of 257364276 is 672463752.

257364276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2573642762 = 132472741122008352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257364277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 824730 + ... + 825041.

It is an arithmetic number, because the mean of its divisors is an integer number (26946276).

Almost surely, 2257364276 is an apocalyptic number.

257364276 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

257364276 is an abundant number, since it is smaller than the sum of its proper divisors (389346348).

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

257364276 is a wasteful number, since it uses less digits than its factorization.

257364276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649791 (or 1649789 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 257364276 is about 16042.5769750374. The cubic root of 257364276 is about 636.0863673699.

The spelling of 257364276 in words is "two hundred fifty-seven million, three hundred sixty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1649771 3299542 4949313 6599084 9898626 19797252 21447023 42894046 64341069 85788092 128682138 257364276