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28744400 = 245271861
BaseRepresentation
bin110110110100…
…1101011010000
32000002100220102
41231221223100
524324310100
62504031532
7466215626
oct155515320
960070812
1028744400
1115253103
1297625a8
135c55629
143b63516
1527cbcd5
hex1b69ad0

28744400 has 30 divisors (see below), whose sum is σ = 69059382. Its totient is φ = 11497600.

The previous prime is 28744393. The next prime is 28744427. The reversal of 28744400 is 444782.

It can be written as a sum of positive squares in 3 ways, for example, as 399424 + 28344976 = 632^2 + 5324^2 .

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, 35531 + ... + 36330.

Almost surely, 228744400 is an apocalyptic number.

28744400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28744400 is an abundant number, since it is smaller than the sum of its proper divisors (40314982).

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

28744400 is a wasteful number, since it uses less digits than its factorization.

28744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71879 (or 71868 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 28744400 is about 5361.3804192577. The cubic root of 28744400 is about 306.3263921604.

The spelling of 28744400 in words is "twenty-eight million, seven hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 71861 143722 287444 359305 574888 718610 1149776 1437220 1796525 2874440 3593050 5748880 7186100 14372200 28744400