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256451151 = 3112193103
BaseRepresentation
bin11110100100100…
…10001001001111
3122212120001211210
433102102021033
51011122414101
641240345503
76232540665
oct1722221117
9585501753
10256451151
1112183a600
1271a75293
1341190b58
14260b8c35
15177aa7d6
hexf49224f

256451151 has 48 divisors (see below), whose sum is σ = 400574720. Its totient is φ = 145815120.

The previous prime is 256451149. The next prime is 256451197. The reversal of 256451151 is 151154652.

256451151 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 256451151 - 21 = 256451149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256451141) 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, 2489766 + ... + 2489868.

Almost surely, 2256451151 is an apocalyptic number.

256451151 is a deficient number, since it is larger than the sum of its proper divisors (144123569).

256451151 is a wasteful number, since it uses less digits than its factorization.

256451151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 136 counting only the distinct ones).

The product of its digits is 6000, while the sum is 30.

The square root of 256451151 is about 16014.0922627541. The cubic root of 256451151 is about 635.3332006240. Note that the first 3 decimals are identical.

It can be divided in two parts, 25645 and 1151, that added together give a triangular number (26796 = T231).

The spelling of 256451151 in words is "two hundred fifty-six million, four hundred fifty-one thousand, one hundred fifty-one".

Divisors: 1 3 11 19 33 57 103 121 209 309 361 363 627 1083 1133 1957 2299 3399 3971 5871 6859 6897 11913 12463 20577 21527 37183 37389 43681 64581 75449 111549 131043 226347 236797 409013 706477 710391 829939 1227039 2119431 2489817 4499143 7771247 13497429 23313741 85483717 256451151