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28076544 = 2934677
BaseRepresentation
bin110101100011…
…0101000000000
31221211102210000
41223012220000
524141422134
62441440000
7460434546
oct153065000
957742700
1028076544
1114937361
1294a0000
135a80652
143a2bd96
1526e8e99
hex1ac6a00

28076544 has 100 divisors (see below), whose sum is σ = 83924874. Its totient is φ = 9345024.

The previous prime is 28076527. The next prime is 28076557. The reversal of 28076544 is 44567082.

It can be written as a sum of positive squares in only one way, i.e., 15116544 + 12960000 = 3888^2 + 3600^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 28076499 and 28076508.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41134 + ... + 41810.

Almost surely, 228076544 is an apocalyptic number.

28076544 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 28076544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41962437).

28076544 is an abundant number, since it is smaller than the sum of its proper divisors (55848330).

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

28076544 is an frugal number, since it uses more digits than its factorization.

28076544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 28076544 is about 5298.7304139765. The cubic root of 28076544 is about 303.9353509802.

The spelling of 28076544 in words is "twenty-eight million, seventy-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 677 768 864 1152 1296 1354 1536 1728 2031 2304 2592 2708 3456 4062 4608 5184 5416 6093 6912 8124 10368 10832 12186 13824 16248 18279 20736 21664 24372 32496 36558 41472 43328 48744 54837 64992 73116 86656 97488 109674 129984 146232 173312 194976 219348 259968 292464 346624 389952 438696 519936 584928 779904 877392 1039872 1169856 1559808 1754784 2339712 3119616 3509568 4679424 7019136 9358848 14038272 28076544