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28974024 = 233461733
BaseRepresentation
bin110111010000…
…1101111001000
32000112000220000
41232201233020
524404132044
62513003000
7501163242
oct156415710
960460800
1028974024
111539a682
129853460
136005cc1
143bc3092
152824d69
hex1ba1bc8

28974024 has 80 divisors (see below), whose sum is σ = 82597020. Its totient is φ = 9486720.

The previous prime is 28974019. The next prime is 28974037. The reversal of 28974024 is 42047982.

It can be written as a sum of positive squares in 2 ways, for example, as 28965924 + 8100 = 5382^2 + 90^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 28974024.

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 19 ways as a sum of consecutive naturals, for example, 39162 + ... + 39894.

Almost surely, 228974024 is an apocalyptic number.

28974024 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 28974024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41298510).

28974024 is an abundant number, since it is smaller than the sum of its proper divisors (53622996).

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

28974024 is a wasteful number, since it uses less digits than its factorization.

28974024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28974024 is about 5382.7524557609. The cubic root of 28974024 is about 307.1399235549.

The spelling of 28974024 in words is "twenty-eight million, nine hundred seventy-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 733 1098 1464 1466 1647 2196 2199 2932 3294 4392 4398 4941 5864 6588 6597 8796 9882 13176 13194 17592 19764 19791 26388 39528 39582 44713 52776 59373 79164 89426 118746 134139 158328 178852 237492 268278 357704 402417 474984 536556 804834 1073112 1207251 1609668 2414502 3219336 3621753 4829004 7243506 9658008 14487012 28974024