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9256401 = 3271119237
BaseRepresentation
bin100011010011…
…110111010001
3122102021101200
4203103313101
54332201101
6530221413
7141451410
oct43236721
918367350
109256401
115252520
123124869
131bc127b
14132d477
15c2c986
hex8d3dd1

9256401 has 72 divisors (see below), whose sum is σ = 18068544. Its totient is φ = 4432320.

The previous prime is 9256399. The next prime is 9256411. The reversal of 9256401 is 1046529.

9256401 is a `hidden beast` number, since 9 + 256 + 401 = 666.

9256401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9256401 - 21 = 9256399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9256411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 250155 + ... + 250191.

It is an arithmetic number, because the mean of its divisors is an integer number (250952).

Almost surely, 29256401 is an apocalyptic number.

It is an amenable number.

9256401 is a deficient number, since it is larger than the sum of its proper divisors (8812143).

9256401 is a wasteful number, since it uses less digits than its factorization.

9256401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9256401 is about 3042.4334010788. The cubic root of 9256401 is about 209.9652323394.

The spelling of 9256401 in words is "nine million, two hundred fifty-six thousand, four hundred one".

Divisors: 1 3 7 9 11 19 21 33 37 57 63 77 99 111 133 171 209 231 259 333 361 399 407 627 693 703 777 1083 1197 1221 1463 1881 2109 2331 2527 2849 3249 3663 3971 4389 4921 6327 7581 7733 8547 11913 13167 13357 14763 22743 23199 25641 27797 35739 40071 44289 54131 69597 83391 93499 120213 146927 162393 250173 280497 440781 487179 841491 1028489 1322343 3085467 9256401