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42825961 = 537311069
BaseRepresentation
bin1010001101011…
…1100011101001
32222120210011201
42203113203221
541430412321
64125524201
71030005013
oct243274351
988523151
1042825961
11221a0862
1212413661
138b45c09
14598b1b3
153b5e291
hex28d78e9

42825961 has 8 divisors (see below), whose sum is σ = 44235720. Its totient is φ = 41438592.

The previous prime is 42825949. The next prime is 42825967. The reversal of 42825961 is 16952824.

It can be written as a sum of positive squares in 4 ways, for example, as 3825936 + 39000025 = 1956^2 + 6245^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42825961 - 27 = 42825833 is a prime.

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 42825961.

It is not an unprimeable number, because it can be changed into a prime (42825967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1666 + ... + 9403.

It is an arithmetic number, because the mean of its divisors is an integer number (5529465).

Almost surely, 242825961 is an apocalyptic number.

It is an amenable number.

42825961 is a deficient number, since it is larger than the sum of its proper divisors (1409759).

42825961 is a wasteful number, since it uses less digits than its factorization.

42825961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11195.

The product of its digits is 34560, while the sum is 37.

The square root of 42825961 is about 6544.1547200536. The cubic root of 42825961 is about 349.8665096373.

The spelling of 42825961 in words is "forty-two million, eight hundred twenty-five thousand, nine hundred sixty-one".

Divisors: 1 53 73 3869 11069 586657 808037 42825961