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2985957 = 331347181
BaseRepresentation
bin1011011000111111100101
312121200222000
423120333211
51231022312
6143555513
734244262
oct13307745
95550860
102985957
11175a437
12bbbb99
13807150
1457a269
153deadc
hex2d8fe5

2985957 has 32 divisors (see below), whose sum is σ = 4892160. Its totient is φ = 1788480.

The previous prime is 2985953. The next prime is 2985971. The reversal of 2985957 is 7595892.

It is a happy number.

It is not a de Polignac number, because 2985957 - 22 = 2985953 is a prime.

2985957 is a lucky number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16407 + ... + 16587.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

22985957 is an apocalyptic number.

2985957 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2985957 is a deficient number, since it is larger than the sum of its proper divisors (1906203).

2985957 is a wasteful number, since it uses less digits than its factorization.

2985957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 2985957 is about 1727.9921874823. The cubic root of 2985957 is about 143.9995659709. Note that the first 3 decimals are identical.

The spelling of 2985957 in words is "two million, nine hundred eighty-five thousand, nine hundred fifty-seven".

Divisors: 1 3 9 13 27 39 47 117 141 181 351 423 543 611 1269 1629 1833 2353 4887 5499 7059 8507 16497 21177 25521 63531 76563 110591 229689 331773 995319 2985957