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56221672 = 23131932801
BaseRepresentation
bin1101011001110…
…1111111101000
310220210100122011
43112131333220
5103343043142
65325005304
71251606403
oct326357750
9126710564
1056221672
11298101a1
12169b3834
13b856280
147676d3a
154e08417
hex359dfe8

56221672 has 32 divisors (see below), whose sum is σ = 114153480. Its totient is φ = 25804800.

The previous prime is 56221661. The next prime is 56221673. The reversal of 56221672 is 27612265.

It can be written as a sum of positive squares in 4 ways, for example, as 31877316 + 24344356 = 5646^2 + 4934^2 .

It is not an unprimeable number, because it can be changed into a prime (56221673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18672 + ... + 21472.

Almost surely, 256221672 is an apocalyptic number.

56221672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56221672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57076740).

56221672 is an abundant number, since it is smaller than the sum of its proper divisors (57931808).

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

56221672 is a wasteful number, since it uses less digits than its factorization.

56221672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3009 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 56221672 is about 7498.1112288362. Note that the first 3 decimals coincide. The cubic root of 56221672 is about 383.0903853561.

The spelling of 56221672 in words is "fifty-six million, two hundred twenty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 193 386 772 1544 2509 2801 5018 5602 10036 11204 20072 22408 36413 72826 145652 291304 540593 1081186 2162372 4324744 7027709 14055418 28110836 56221672