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268435461 = 3723555767
BaseRepresentation
bin10000000000000…
…000000000000101
3200201002221020010
4100000000000011
51022204413321
642345300433
76436443450
oct2000000005
9621087203
10268435461
11128585598
1275a94719
13437c8968
1427918497
1518876676
hex10000005

268435461 has 16 divisors (see below), whose sum is σ = 426829824. Its totient is φ = 146722224.

The previous prime is 268435459. The next prime is 268435463. The reversal of 268435461 is 164534862.

It is an interprime number because it is at equal distance from previous prime (268435459) and next prime (268435463).

It is not a de Polignac number, because 268435461 - 21 = 268435459 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268435463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277401 + ... + 278366.

It is an arithmetic number, because the mean of its divisors is an integer number (26676864).

Almost surely, 2268435461 is an apocalyptic number.

268435461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

268435461 is a deficient number, since it is larger than the sum of its proper divisors (158394363).

268435461 is a wasteful number, since it uses less digits than its factorization.

268435461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555800.

The product of its digits is 138240, while the sum is 39.

The square root of 268435461 is about 16384.0001525879. Note that the first 3 decimals coincide. The cubic root of 268435461 is about 645.0795815514.

The spelling of 268435461 in words is "two hundred sixty-eight million, four hundred thirty-five thousand, four hundred sixty-one".

Divisors: 1 3 7 21 23 69 161 483 555767 1667301 3890369 11671107 12782641 38347923 89478487 268435461