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23046976 = 26734933
BaseRepresentation
bin101011111101…
…0101101000000
31121100220111201
41113322231000
521400000401
62141550544
7366616231
oct127725500
947326451
1023046976
1112011597
127875454
134a0c284
1430bd088
152053b01
hex15fab40

23046976 has 28 divisors (see below), whose sum is σ = 46369732. Its totient is φ = 11363328.

The previous prime is 23046973. The next prime is 23046977. The reversal of 23046976 is 67964032.

It can be written as a sum of positive squares in 2 ways, for example, as 10086976 + 12960000 = 3176^2 + 3600^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23046973) 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 3 ways as a sum of consecutive naturals, for example, 2206 + ... + 7138.

Almost surely, 223046976 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 23046976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23184866).

23046976 is an abundant number, since it is smaller than the sum of its proper divisors (23322756).

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

23046976 is an equidigital number, since it uses as much as digits as its factorization.

23046976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 23046976 is about 4800.7266116704. The cubic root of 23046976 is about 284.5801800813.

The spelling of 23046976 in words is "twenty-three million, forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4672 4933 9866 19732 39464 78928 157856 315712 360109 720218 1440436 2880872 5761744 11523488 23046976