Search a number
-
+
427790848 = 291396011
BaseRepresentation
bin11001011111111…
…001001000000000
31002210222000201111
4121133321020000
51334003301343
6110241013104
713413106432
oct3137711000
91083860644
10427790848
111aa527661
12bb324194
136a821ba4
1440b5a652
1527852c9d
hex197f9200

427790848 has 40 divisors (see below), whose sum is σ = 861038640. Its totient is φ = 212321280.

The previous prime is 427790837. The next prime is 427790911. The reversal of 427790848 is 848097724.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 68163 + ... + 74173.

It is an arithmetic number, because the mean of its divisors is an integer number (21525966).

Almost surely, 2427790848 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 427790848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430519320).

427790848 is an abundant number, since it is smaller than the sum of its proper divisors (433247792).

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

427790848 is an equidigital number, since it uses as much as digits as its factorization.

427790848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The square root of 427790848 is about 20683.1053761276. The cubic root of 427790848 is about 753.4894277181.

The spelling of 427790848 in words is "four hundred twenty-seven million, seven hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 512 556 1112 2224 4448 6011 8896 12022 17792 24044 35584 48088 71168 96176 192352 384704 769408 835529 1538816 1671058 3077632 3342116 6684232 13368464 26736928 53473856 106947712 213895424 427790848