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28042464 = 253594951
BaseRepresentation
bin110101011111…
…0010011100000
31221202201000210
41222332103200
524134324324
62441014120
7460233312
oct152762340
957681023
1028042464
111491379a
129484340
135a6ac98
143a1d7b2
1526ddd29
hex1abe4e0

28042464 has 48 divisors (see below), whose sum is σ = 74874240. Its totient is φ = 9187200.

The previous prime is 28042457. The next prime is 28042501. The reversal of 28042464 is 46424082.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3189 + ... + 8139.

It is an arithmetic number, because the mean of its divisors is an integer number (1559880).

Almost surely, 228042464 is an apocalyptic number.

28042464 is a gapful number since it is divisible by the number (24) 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 28042464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37437120).

28042464 is an abundant number, since it is smaller than the sum of its proper divisors (46831776).

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

28042464 is a wasteful number, since it uses less digits than its factorization.

28042464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 28042464 is about 5295.5135728275. The cubic root of 28042464 is about 303.8123264540.

The spelling of 28042464 in words is "twenty-eight million, forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 4951 5664 9902 14853 19804 29706 39608 59412 79216 118824 158432 237648 292109 475296 584218 876327 1168436 1752654 2336872 3505308 4673744 7010616 9347488 14021232 28042464