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1038225 = 352109127
BaseRepresentation
bin11111101011110010001
31221202011210
43331132101
5231210400
634130333
711552616
oct3753621
91852153
101038225
1164a041
124209a9
132a4746
141d050d
15157950
hexfd791

1038225 has 24 divisors (see below), whose sum is σ = 1745920. Its totient is φ = 544320.

The previous prime is 1038211. The next prime is 1038227. The reversal of 1038225 is 5228301.

1038225 = T59 + T60 + ... + T185.

It is not a de Polignac number, because 1038225 - 24 = 1038209 is a prime.

It is a super-2 number, since 2×10382252 = 2155822301250, which contains 22 as substring.

1038225 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1038227) 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 23 ways as a sum of consecutive naturals, for example, 8112 + ... + 8238.

21038225 is an apocalyptic number.

1038225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1038225 is the 545-th nonagonal number.

It is an amenable number.

1038225 is a deficient number, since it is larger than the sum of its proper divisors (707695).

1038225 is a wasteful number, since it uses less digits than its factorization.

1038225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1038225 is about 1018.9332657245. The cubic root of 1038225 is about 101.2582678815.

The spelling of 1038225 in words is "one million, thirty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 109 127 327 381 545 635 1635 1905 2725 3175 8175 9525 13843 41529 69215 207645 346075 1038225