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940049 = 11217457
BaseRepresentation
bin11100101100000010001
31202202111122
43211200101
5220040144
632052025
710663445
oct3454021
91682448
10940049
11592300
12394015
1326bb56
141a6825
151387ee
hexe5811

940049 has 12 divisors (see below), whose sum is σ = 1096452. Its totient is φ = 802560.

The previous prime is 940031. The next prime is 940067.

940049 = T222 + T223 + ... + T254.

940049 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (940031) and next prime (940067).

It can be written as a sum of positive squares in 2 ways, for example, as 774400 + 165649 = 880^2 + 407^2 .

It is not a de Polignac number, because 940049 - 28 = 939793 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (940019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1829 + ... + 2285.

It is an arithmetic number, because the mean of its divisors is an integer number (91371).

2940049 is an apocalyptic number.

It is an amenable number.

940049 is a deficient number, since it is larger than the sum of its proper divisors (156403).

940049 is a wasteful number, since it uses less digits than its factorization.

940049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 940049 is about 969.5612409745. The cubic root of 940049 is about 97.9603129597.

It can be divided in two parts, 9400 and 49, that added together give a palindrome (9449).

The spelling of 940049 in words is "nine hundred forty thousand, forty-nine".

Divisors: 1 11 17 121 187 457 2057 5027 7769 55297 85459 940049