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28147626 = 23213219487
BaseRepresentation
bin110101101011…
…1111110101010
31221222001021200
41223113332222
524201211001
62443145030
7461152023
oct153277652
957861250
1028147626
1114985801
129515176
135aa6b00
143a49c4a
152710086
hex1ad7faa

28147626 has 72 divisors (see below), whose sum is σ = 69657120. Its totient is φ = 8188128.

The previous prime is 28147591. The next prime is 28147633. The reversal of 28147626 is 62674182.

28147626 is a `hidden beast` number, since 28 + 1 + 4 + 7 + 626 = 666.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 57555 + ... + 58041.

It is an arithmetic number, because the mean of its divisors is an integer number (967460).

Almost surely, 228147626 is an apocalyptic number.

28147626 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28147626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34828560).

28147626 is an abundant number, since it is smaller than the sum of its proper divisors (41509494).

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

28147626 is a wasteful number, since it uses less digits than its factorization.

28147626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 524 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 28147626 is about 5305.4336297799. The cubic root of 28147626 is about 304.1916280843.

It can be divided in two parts, 2814 and 7626, that added together give a triangular number (10440 = T144).

The spelling of 28147626 in words is "twenty-eight million, one hundred forty-seven thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 169 171 234 247 338 342 487 494 507 741 974 1014 1461 1482 1521 2223 2922 3042 3211 4383 4446 6331 6422 8766 9253 9633 12662 18506 18993 19266 27759 28899 37986 55518 56979 57798 82303 83277 113958 120289 164606 166554 240578 246909 360867 493818 721734 740727 1082601 1481454 1563757 2165202 3127514 4691271 9382542 14073813 28147626