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28362942 = 2323721151
BaseRepresentation
bin110110000110…
…0100010111110
31222100222122100
41230030202332
524230103232
62451525530
7463036536
oct154144276
958328570
1028362942
1115012553
1295b98a6
135b50b0a
143aa44c6
152753c7c
hex1b0c8be

28362942 has 36 divisors (see below), whose sum is σ = 63213696. Its totient is φ = 9190800.

The previous prime is 28362937. The next prime is 28362947. The reversal of 28362942 is 24926382.

28362942 is a `hidden beast` number, since 28 + 3 + 629 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (28362937) and next prime (28362947).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28362897 and 28362906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28362947) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 24067 + ... + 25217.

It is an arithmetic number, because the mean of its divisors is an integer number (1755936).

Almost surely, 228362942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28362942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31606848).

28362942 is an abundant number, since it is smaller than the sum of its proper divisors (34850754).

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

28362942 is a wasteful number, since it uses less digits than its factorization.

28362942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1193 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 28362942 is about 5325.6869979374. The cubic root of 28362942 is about 304.9652992860.

It can be divided in two parts, 2836 and 2942, that added together give a triangular number (5778 = T107).

The spelling of 28362942 in words is "twenty-eight million, three hundred sixty-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1151 1369 2302 2738 3453 4107 6906 8214 10359 12321 20718 24642 42587 85174 127761 255522 383283 766566 1575719 3151438 4727157 9454314 14181471 28362942