Search a number
-
+
28694016 = 293213479
BaseRepresentation
bin110110101110…
…1011000000000
31222222210210100
41231131120000
524321202031
62503002400
7465616011
oct155353000
958883710
1028694016
111521926a
129739400
135c38710
143b4d008
1527bbde6
hex1b5d600

28694016 has 120 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 8810496.

The previous prime is 28693993. The next prime is 28694027. The reversal of 28694016 is 61049682.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59665 + ... + 60143.

It is an arithmetic number, because the mean of its divisors is an integer number (744744).

Almost surely, 228694016 is an apocalyptic number.

28694016 is a gapful number since it is divisible by the number (26) 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 28694016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44684640).

28694016 is an abundant number, since it is smaller than the sum of its proper divisors (60675264).

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

28694016 is a wasteful number, since it uses less digits than its factorization.

28694016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28694016 is about 5356.6795685387. The cubic root of 28694016 is about 306.1473082876.

The spelling of 28694016 in words is "twenty-eight million, six hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 479 512 576 624 768 832 936 958 1152 1248 1437 1536 1664 1872 1916 2304 2496 2874 3328 3744 3832 4311 4608 4992 5748 6227 6656 7488 7664 8622 9984 11496 12454 14976 15328 17244 18681 19968 22992 24908 29952 30656 34488 37362 45984 49816 56043 59904 61312 68976 74724 91968 99632 112086 122624 137952 149448 183936 199264 224172 245248 275904 298896 367872 398528 448344 551808 597792 735744 797056 896688 1103616 1195584 1594112 1793376 2207232 2391168 3188224 3586752 4782336 7173504 9564672 14347008 28694016