Search a number
-
+
28040634 = 23323107211
BaseRepresentation
bin110101011110…
…1110110111010
31221202121112000
41222331312322
524134300014
62441001430
7460225056
oct152756672
957677460
1028040634
1114912386
129483276
135a6a1bb
143a1cc66
1526dd509
hex1abddba

28040634 has 64 divisors (see below), whose sum is σ = 65940480. Its totient is φ = 8814960.

The previous prime is 28040627. The next prime is 28040653. The reversal of 28040634 is 43604082.

28040634 is a `hidden beast` number, since 28 + 0 + 4 + 0 + 634 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 28040598 and 28040607.

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 31 ways as a sum of consecutive naturals, for example, 132789 + ... + 132999.

It is an arithmetic number, because the mean of its divisors is an integer number (1030320).

Almost surely, 228040634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28040634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32970240).

28040634 is an abundant number, since it is smaller than the sum of its proper divisors (37899846).

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

28040634 is a wasteful number, since it uses less digits than its factorization.

28040634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 28040634 is about 5295.3407822349. The cubic root of 28040634 is about 303.8057175644.

The spelling of 28040634 in words is "twenty-eight million, forty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 107 138 207 211 214 321 414 422 621 633 642 963 1242 1266 1899 1926 2461 2889 3798 4853 4922 5697 5778 7383 9706 11394 14559 14766 22149 22577 29118 43677 44298 45154 66447 67731 87354 131031 132894 135462 203193 262062 406386 519271 609579 1038542 1219158 1557813 3115626 4673439 9346878 14020317 28040634