Search a number
-
+
28746016 = 2513431607
BaseRepresentation
bin110110110101…
…0000100100000
32000002110010021
41231222010200
524324333031
62504043224
7466223425
oct155520440
960073107
1028746016
1115254342
129763514
135c562a0
143b63d4c
1527cc511
hex1b6a120

28746016 has 48 divisors (see below), whose sum is σ = 62403264. Its totient is φ = 12950784.

The previous prime is 28745987. The next prime is 28746037. The reversal of 28746016 is 61064782.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17085 + ... + 18691.

It is an arithmetic number, because the mean of its divisors is an integer number (1300068).

Almost surely, 228746016 is an apocalyptic number.

28746016 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 28746016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31201632).

28746016 is an abundant number, since it is smaller than the sum of its proper divisors (33657248).

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

28746016 is a wasteful number, since it uses less digits than its factorization.

28746016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 28746016 is about 5361.5311245949. The cubic root of 28746016 is about 306.3321325733.

The spelling of 28746016 in words is "twenty-eight million, seven hundred forty-six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 416 559 688 1118 1376 1607 2236 3214 4472 6428 8944 12856 17888 20891 25712 41782 51424 69101 83564 138202 167128 276404 334256 552808 668512 898313 1105616 1796626 2211232 3593252 7186504 14373008 28746016