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257114156 = 2213191971321
BaseRepresentation
bin11110101001101…
…00000000101100
3122220210202022112
433110310000230
51011310123111
641302503152
76241301645
oct1724640054
9586722275
10257114156
11122152742
1272134ab8
1341363870
142620c6cc
151788be8b
hexf53402c

257114156 has 48 divisors (see below), whose sum is σ = 513041760. Its totient is φ = 111767040.

The previous prime is 257114149. The next prime is 257114177. The reversal of 257114156 is 651411752.

It is a super-3 number, since 3×2571141563 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193976 + ... + 195296.

It is an arithmetic number, because the mean of its divisors is an integer number (10688370).

Almost surely, 2257114156 is an apocalyptic number.

257114156 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

257114156 is a deficient number, since it is larger than the sum of its proper divisors (255927604).

257114156 is a wasteful number, since it uses less digits than its factorization.

257114156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1552 counting only the distinct ones).

The product of its digits is 8400, while the sum is 32.

The square root of 257114156 is about 16034.7795744126. The cubic root of 257114156 is about 635.8802399664.

The spelling of 257114156 in words is "two hundred fifty-seven million, one hundred fourteen thousand, one hundred fifty-six".

Divisors: 1 2 4 13 19 26 38 52 76 197 247 394 494 788 988 1321 2561 2642 3743 5122 5284 7486 10244 14972 17173 25099 34346 48659 50198 68692 97318 100396 194636 260237 326287 520474 652574 1040948 1305148 3383081 4944503 6766162 9889006 13532324 19778012 64278539 128557078 257114156