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28177056 = 2532227431
BaseRepresentation
bin110101101111…
…1001010100000
31222000112122200
41223133022200
524203131211
62443533200
7461333565
oct153371240
958015580
1028177056
11149a5926
12952a200
135ab731b
143a5686c
152718b56
hex1adf2a0

28177056 has 72 divisors (see below), whose sum is σ = 80668224. Its totient is φ = 9329280.

The previous prime is 28177049. The next prime is 28177063. The reversal of 28177056 is 65077182.

It is an interprime number because it is at equal distance from previous prime (28177049) and next prime (28177063).

It is a tau number, because it is divible by the number of its divisors (72).

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 28177056.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 65161 + ... + 65591.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 228177056 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 28177056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40334112).

28177056 is an abundant number, since it is smaller than the sum of its proper divisors (52491168).

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

28177056 is a wasteful number, since it uses less digits than its factorization.

28177056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 28177056 is about 5308.2064767678. The cubic root of 28177056 is about 304.2976079084.

The spelling of 28177056 in words is "twenty-eight million, one hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 227 288 431 454 681 862 908 1293 1362 1724 1816 2043 2586 2724 3448 3632 3879 4086 5172 5448 6896 7264 7758 8172 10344 10896 13792 15516 16344 20688 21792 31032 32688 41376 62064 65376 97837 124128 195674 293511 391348 587022 782696 880533 1174044 1565392 1761066 2348088 3130784 3522132 4696176 7044264 9392352 14088528 28177056