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42055225 = 5212972
BaseRepresentation
bin1010000001101…
…1011000111001
32221010121220221
42200123120321
541231231400
64101220041
71020314662
oct240333071
987117827
1042055225
1121814793
1212101621
138936164
14582a369
153a5ac1a
hex281b639

42055225 has 9 divisors (see below), whose sum is σ = 52188717. Its totient is φ = 33618240.

The previous prime is 42055219. The next prime is 42055231. The reversal of 42055225 is 52255024.

It is a happy number.

The square root of 42055225 is 6485.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (42055219) and next prime (42055231).

It can be written as a sum of positive squares in 4 ways, for example, as 12938409 + 29116816 = 3597^2 + 5396^2 .

It is not a de Polignac number, because 42055225 - 25 = 42055193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 42055225.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31777 + ... + 33073.

Almost surely, 242055225 is an apocalyptic number.

42055225 is the 6485-th square number.

42055225 is the 3243-rd centered octagonal number.

It is an amenable number.

42055225 is a deficient number, since it is larger than the sum of its proper divisors (10133492).

42055225 is an frugal number, since it uses more digits than its factorization.

42055225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The cubic root of 42055225 is about 347.7549498033.

Multiplying 42055225 by its sum of digits (25), we get a square (1051380625 = 324252).

42055225 divided by its sum of digits (25) gives a square (1682209 = 12972).

The spelling of 42055225 in words is "forty-two million, fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 1297 6485 32425 1682209 8411045 42055225