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249957468 = 223323472141
BaseRepresentation
bin11101110011000…
…00110001011100
3122102100011012000
432321200301130
51002442114333
640445242300
76123413655
oct1671406134
9572304160
10249957468
11119104822
126b863390
133ca29237
14252a852c
1516e26713
hexee60c5c

249957468 has 96 divisors (see below), whose sum is σ = 690923520. Its totient is φ = 77964480.

The previous prime is 249957439. The next prime is 249957473. The reversal of 249957468 is 864759942.

249957468 is a `hidden beast` number, since 2 + 4 + 9 + 9 + 574 + 68 = 666.

249957468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115678 + ... + 117818.

It is an arithmetic number, because the mean of its divisors is an integer number (7197120).

Almost surely, 2249957468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249957468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345461760).

249957468 is an abundant number, since it is smaller than the sum of its proper divisors (440966052).

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

249957468 is a wasteful number, since it uses less digits than its factorization.

249957468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2216 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 249957468 is about 15810.0432636979. The cubic root of 249957468 is about 629.9247982799.

The spelling of 249957468 in words is "two hundred forty-nine million, nine hundred fifty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 47 54 69 92 94 108 138 141 188 207 276 282 414 423 564 621 828 846 1081 1242 1269 1692 2141 2162 2484 2538 3243 4282 4324 5076 6423 6486 8564 9729 12846 12972 19269 19458 25692 29187 38538 38916 49243 57807 58374 77076 98486 100627 115614 116748 147729 196972 201254 231228 295458 301881 402508 443187 590916 603762 886374 905643 1207524 1329561 1772748 1811286 2314421 2659122 2716929 3622572 4628842 5318244 5433858 6943263 9257684 10867716 13886526 20829789 27773052 41659578 62489367 83319156 124978734 249957468