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28143936 = 26346189
BaseRepresentation
bin110101101011…
…1000101000000
31221221212020000
41223113011000
524201101221
62443120000
7461135202
oct153270500
957855200
1028143936
1114982a57
129513000
135aa5222
143a48772
15270de26
hex1ad7140

28143936 has 140 divisors (see below), whose sum is σ = 85747860. Its totient is φ = 9123840.

The previous prime is 28143911. The next prime is 28143943. The reversal of 28143936 is 63934182.

It can be written as a sum of positive squares in 2 ways, for example, as 2742336 + 25401600 = 1656^2 + 5040^2 .

It is a super-2 number, since 2×281439362 = 1584162267144192, 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 a self number, because there is not a number n which added to its sum of digits gives 28143936.

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 19 ways as a sum of consecutive naturals, for example, 316180 + ... + 316268.

Almost surely, 228143936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28143936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42873930).

28143936 is an abundant number, since it is smaller than the sum of its proper divisors (57603924).

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

28143936 is an equidigital number, since it uses as much as digits as its factorization.

28143936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 28143936 is about 5305.0858616991. The cubic root of 28143936 is about 304.1783348832.

The spelling of 28143936 in words is "twenty-eight million, one hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 89 96 108 122 144 162 178 183 192 216 244 267 288 324 356 366 432 488 534 549 576 648 712 732 801 864 976 1068 1098 1296 1424 1464 1602 1647 1728 1952 2136 2196 2403 2592 2848 2928 3204 3294 3904 4272 4392 4806 4941 5184 5429 5696 5856 6408 6588 7209 8544 8784 9612 9882 10858 11712 12816 13176 14418 16287 17088 17568 19224 19764 21716 25632 26352 28836 32574 35136 38448 39528 43432 48861 51264 52704 57672 65148 76896 79056 86864 97722 105408 115344 130296 146583 153792 158112 173728 195444 230688 260592 293166 316224 347456 390888 439749 461376 521184 586332 781776 879498 1042368 1172664 1563552 1758996 2345328 3127104 3517992 4690656 7035984 9381312 14071968 28143936