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28277424 = 243571039
BaseRepresentation
bin110101111011…
…1101010110000
31222012122100000
41223313222300
524214334144
62450030000
7462232320
oct153675260
958178300
1028277424
1114a6427a
129578300
135b20c06
143a81280
152738769
hex1af7ab0

28277424 has 120 divisors (see below), whose sum is σ = 93882880. Its totient is φ = 8071488.

The previous prime is 28277393. The next prime is 28277429. The reversal of 28277424 is 42477282.

It is a super-2 number, since 2×282774242 = 1599225416151552, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28277429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26697 + ... + 27735.

Almost surely, 228277424 is an apocalyptic number.

28277424 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 28277424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46941440).

28277424 is an abundant number, since it is smaller than the sum of its proper divisors (65605456).

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

28277424 is a wasteful number, since it uses less digits than its factorization.

28277424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1051 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 28277424 is about 5317.6521134802. The cubic root of 28277424 is about 304.6584872256.

The spelling of 28277424 in words is "twenty-eight million, two hundred seventy-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1039 1134 1296 1512 1701 1944 2078 2268 3024 3117 3402 3888 4156 4536 6234 6804 7273 8312 9072 9351 12468 13608 14546 16624 18702 21819 24936 27216 28053 29092 37404 43638 49872 56106 58184 65457 74808 84159 87276 112212 116368 130914 149616 168318 174552 196371 224424 252477 261828 336636 349104 392742 448848 504954 523656 589113 673272 785484 1009908 1047312 1178226 1346544 1570968 1767339 2019816 2356452 3141936 3534678 4039632 4712904 7069356 9425808 14138712 28277424