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4100949 = 34197257
BaseRepresentation
bin1111101001001101010101
321201100110000
433221031111
52022212244
6223521513
746600056
oct17511525
97640400
104100949
112351116
121459299
13b077c8
1478a72d
15560169
hex3e9355

4100949 has 20 divisors (see below), whose sum is σ = 6181164. Its totient is φ = 2709504.

The previous prime is 4100939. The next prime is 4100951. The reversal of 4100949 is 9490014.

It can be written as a sum of positive squares in 2 ways, for example, as 4028049 + 72900 = 2007^2 + 270^2 .

It is not a de Polignac number, because 4100949 - 212 = 4096853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100909) 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 19 ways as a sum of consecutive naturals, for example, 15829 + ... + 16085.

Almost surely, 24100949 is an apocalyptic number.

It is an amenable number.

4100949 is a deficient number, since it is larger than the sum of its proper divisors (2080215).

4100949 is a wasteful number, since it uses less digits than its factorization.

4100949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4100949 is about 2025.0799984198. The cubic root of 4100949 is about 160.0644141683.

The spelling of 4100949 in words is "four million, one hundred thousand, nine hundred forty-nine".

Divisors: 1 3 9 27 81 197 257 591 771 1773 2313 5319 6939 15957 20817 50629 151887 455661 1366983 4100949