Search a number
-
+
405048237 = 31112274189
BaseRepresentation
bin11000001001001…
…000101110101101
31001020011120201120
4120021020232231
51312143020422
6104105331153
713015565436
oct3011105655
91036146646
10405048237
11198703810
12b3796ab9
1365bbb319
143bb1a48d
152585e45c
hex18248bad

405048237 has 8 divisors (see below), whose sum is σ = 589161120. Its totient is φ = 245483760.

The previous prime is 405048227. The next prime is 405048277. The reversal of 405048237 is 732840504.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 405048237 - 26 = 405048173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 12274189 = 405048237 / (4 + 0 + 5 + 0 + 4 + 8 + 2 + 3 + 7).

It is a junction number, because it is equal to n+sod(n) for n = 405048198 and 405048207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405048227) 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 7 ways as a sum of consecutive naturals, for example, 6137062 + ... + 6137127.

It is an arithmetic number, because the mean of its divisors is an integer number (73645140).

Almost surely, 2405048237 is an apocalyptic number.

It is an amenable number.

405048237 is a deficient number, since it is larger than the sum of its proper divisors (184112883).

405048237 is a wasteful number, since it uses less digits than its factorization.

405048237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12274203.

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 405048237 is about 20125.8102197154. The cubic root of 405048237 is about 739.8929946323.

The spelling of 405048237 in words is "four hundred five million, forty-eight thousand, two hundred thirty-seven".

Divisors: 1 3 11 33 12274189 36822567 135016079 405048237