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40728825 = 345220113
BaseRepresentation
bin1001101101011…
…1100011111001
32211122020110000
42123113203321
540411310300
64012543213
71003121634
oct233274371
984566400
1040728825
1120a99195
1211781b09
1385904c7
1455a2c1b
153897c00
hex26d78f9

40728825 has 30 divisors (see below), whose sum is σ = 75447614. Its totient is φ = 21720960.

The previous prime is 40728797. The next prime is 40728827. The reversal of 40728825 is 52882704.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 40717161 = 108^2 + 6381^2 .

It is not a de Polignac number, because 40728825 - 29 = 40728313 is a prime.

It is a super-3 number, since 3×407288253 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40728825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40728827) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8032 + ... + 12081.

Almost surely, 240728825 is an apocalyptic number.

40728825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40728825 is a deficient number, since it is larger than the sum of its proper divisors (34718789).

40728825 is a wasteful number, since it uses less digits than its factorization.

40728825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20135 (or 20121 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 40728825 is about 6381.9138978836. The cubic root of 40728825 is about 344.0598220507.

The spelling of 40728825 in words is "forty million, seven hundred twenty-eight thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 20113 60339 100565 181017 301695 502825 543051 905085 1508475 1629153 2715255 4525425 8145765 13576275 40728825