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28936100 = 2252289361
BaseRepresentation
bin110111001100…
…0011110100100
32000110002212102
41232120132210
524401423400
62512111232
7500644544
oct156303644
960402772
1028936100
1115374136
129835518
135cc196b
143bb3324
1528189d5
hex1b987a4

28936100 has 18 divisors (see below), whose sum is σ = 62791554. Its totient is φ = 11574400.

The previous prime is 28936097. The next prime is 28936123. The reversal of 28936100 is 163982.

It can be written as a sum of positive squares in 3 ways, for example, as 7628644 + 21307456 = 2762^2 + 4616^2 .

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 5 ways as a sum of consecutive naturals, for example, 144581 + ... + 144780.

Almost surely, 228936100 is an apocalyptic number.

28936100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28936100 is an abundant number, since it is smaller than the sum of its proper divisors (33855454).

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

28936100 is a wasteful number, since it uses less digits than its factorization.

28936100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289375 (or 289368 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 28936100 is about 5379.2285692281. The cubic root of 28936100 is about 307.0058602509.

It can be divided in two parts, 289 and 36100, that multiplied together give a square (10432900 = 32302).

The spelling of 28936100 in words is "twenty-eight million, nine hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 289361 578722 1157444 1446805 2893610 5787220 7234025 14468050 28936100