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28431816 = 2337832039
BaseRepresentation
bin110110001110…
…1010111001000
31222111111010020
41230131113020
524234304231
62453220440
7463444410
oct154352710
958444106
1028431816
111505a276
129631720
135b7627a
143ac1640
152769396
hex1b1d5c8

28431816 has 64 divisors (see below), whose sum is σ = 82252800. Its totient is φ = 8021568.

The previous prime is 28431791. The next prime is 28431829. The reversal of 28431816 is 61813482.

It is a super-2 number, since 2×284318162 = 1616736322115712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 12925 + ... + 14963.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 228431816 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 28431816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126400).

28431816 is an abundant number, since it is smaller than the sum of its proper divisors (53820984).

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

28431816 is a wasteful number, since it uses less digits than its factorization.

28431816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2134 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 28431816 is about 5332.1492852320. The cubic root of 28431816 is about 305.2119497848.

The spelling of 28431816 in words is "twenty-eight million, four hundred thirty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1162 1743 1992 2039 2324 3486 4078 4648 6117 6972 8156 12234 13944 14273 16312 24468 28546 42819 48936 57092 85638 114184 169237 171276 338474 342552 507711 676948 1015422 1184659 1353896 2030844 2369318 3553977 4061688 4738636 7107954 9477272 14215908 28431816