Search a number
-
+
28999040 = 27576473
BaseRepresentation
bin110111010011…
…1110110000000
32000120022012112
41232213312000
524410432130
62513314452
7501326210
oct156476600
960508175
1028999040
1115407454
129865a28
1360144c5
143bcc240
15282c495
hex1ba7d80

28999040 has 64 divisors (see below), whose sum is σ = 79241760. Its totient is φ = 9940992.

The previous prime is 28999037. The next prime is 28999051. The reversal of 28999040 is 4099982.

It is a tau number, because it is divible by the number of its divisors (64).

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, 1244 + ... + 7716.

Almost surely, 228999040 is an apocalyptic number.

28999040 is a gapful number since it is divisible by the number (20) 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 28999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39620880).

28999040 is an abundant number, since it is smaller than the sum of its proper divisors (50242720).

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

28999040 is an equidigital number, since it uses as much as digits as its factorization.

28999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6499 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 28999040 is about 5385.0756726345. The cubic root of 28999040 is about 307.2282923885.

The spelling of 28999040 in words is "twenty-eight million, nine hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 6473 12946 25892 32365 45311 51784 64730 90622 103568 129460 181244 207136 226555 258920 362488 414272 453110 517840 724976 828544 906220 1035680 1449952 1812440 2071360 2899904 3624880 4142720 5799808 7249760 14499520 28999040