Search a number
-
+
256607416 = 23133137883
BaseRepresentation
bin11110100101110…
…00010010111000
3122212212000012101
433102320102320
51011142414131
641243553144
76234061402
oct1722702270
9585760171
10256607416
11121936a4a
1271b2b7b4
1341217010
1426119b72
15177dbc61
hexf4b84b8

256607416 has 32 divisors (see below), whose sum is σ = 519870960. Its totient is φ = 118040832.

The previous prime is 256607413. The next prime is 256607423. The reversal of 256607416 is 614706652.

It is a happy number.

256607416 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 not an unprimeable number, because it can be changed into a prime (256607413) 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, 28611 + ... + 36493.

Almost surely, 2256607416 is an apocalyptic number.

256607416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

256607416 is an abundant number, since it is smaller than the sum of its proper divisors (263263544).

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

256607416 is a wasteful number, since it uses less digits than its factorization.

256607416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8215 (or 8211 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 256607416 is about 16018.9705037496. The cubic root of 256607416 is about 635.4622182868.

The spelling of 256607416 in words is "two hundred fifty-six million, six hundred seven thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 313 626 1252 2504 4069 7883 8138 15766 16276 31532 32552 63064 102479 204958 409916 819832 2467379 4934758 9869516 19739032 32075927 64151854 128303708 256607416