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28053504 = 21232761
BaseRepresentation
bin110101100000…
…1000000000000
31221210021011200
41223001000000
524140203004
62441141200
7460310433
oct153010000
957707150
1028053504
1114921016
12948a800
135a7300b
143a2381a
1526e2239
hex1ac1000

28053504 has 78 divisors (see below), whose sum is σ = 81140046. Its totient is φ = 9338880.

The previous prime is 28053479. The next prime is 28053521. The reversal of 28053504 is 40535082.

It can be written as a sum of positive squares in only one way, i.e., 14745600 + 13307904 = 3840^2 + 3648^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36484 + ... + 37244.

It is an arithmetic number, because the mean of its divisors is an integer number (1040257).

Almost surely, 228053504 is an apocalyptic number.

28053504 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 28053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40570023).

28053504 is an abundant number, since it is smaller than the sum of its proper divisors (53086542).

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

28053504 is an equidigital number, since it uses as much as digits as its factorization.

28053504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 28053504 is about 5296.5558620673. Note that the first 3 decimals coincide. The cubic root of 28053504 is about 303.8521903788.

Adding to 28053504 its reverse (40535082), we get a palindrome (68588586).

The spelling of 28053504 in words is "twenty-eight million, fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 761 768 1024 1152 1522 1536 2048 2283 2304 3044 3072 4096 4566 4608 6088 6144 6849 9132 9216 12176 12288 13698 18264 18432 24352 27396 36528 36864 48704 54792 73056 97408 109584 146112 194816 219168 292224 389632 438336 584448 779264 876672 1168896 1558528 1753344 2337792 3117056 3506688 4675584 7013376 9351168 14026752 28053504