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28953090 = 23252371197
BaseRepresentation
bin110111001110…
…0101000000010
32000110222011200
41232130220002
524402444330
62512322030
7501045225
oct156345002
960428150
1028953090
1115385981
129843316
135cc960a
143bb95bc
15281da60
hex1b9ca02

28953090 has 96 divisors (see below), whose sum is σ = 80061696. Its totient is φ = 7244160.

The previous prime is 28953083. The next prime is 28953103. The reversal of 28953090 is 9035982.

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 146872 + ... + 147068.

It is an arithmetic number, because the mean of its divisors is an integer number (833976).

Almost surely, 228953090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28953090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40030848).

28953090 is an abundant number, since it is smaller than the sum of its proper divisors (51108606).

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

28953090 is a wasteful number, since it uses less digits than its factorization.

28953090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 28953090 is about 5380.8075602088. The cubic root of 28953090 is about 307.0659352556.

The spelling of 28953090 in words is "twenty-eight million, nine hundred fifty-three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 71 90 115 138 142 197 207 213 230 345 355 394 414 426 591 639 690 710 985 1035 1065 1182 1278 1633 1773 1970 2070 2130 2955 3195 3266 3546 4531 4899 5910 6390 8165 8865 9062 9798 13593 13987 14697 16330 17730 22655 24495 27186 27974 29394 40779 41961 45310 48990 67965 69935 73485 81558 83922 125883 135930 139870 146970 203895 209805 251766 321701 407790 419610 629415 643402 965103 1258830 1608505 1930206 2895309 3217010 4825515 5790618 9651030 14476545 28953090