Search a number
-
+
1055638257 = 33161718397
BaseRepresentation
bin111110111010111…
…100001011110001
32201120100222110020
4332322330023301
54130220411012
6252425554053
735105530362
oct7672741361
92646328406
101055638257
114a1975713
12255645929
1313a91aa2b
14a02b1b69
1562a21a8c
hex3eebc2f1

1055638257 has 16 divisors (see below), whose sum is σ = 1455355392. Its totient is φ = 679916160.

The previous prime is 1055638223. The next prime is 1055638301. The reversal of 1055638257 is 7528365501.

It is not a de Polignac number, because 1055638257 - 214 = 1055621873 is a prime.

It is a super-3 number, since 3×10556382573 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1055638457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48183 + ... + 66579.

It is an arithmetic number, because the mean of its divisors is an integer number (90959712).

Almost surely, 21055638257 is an apocalyptic number.

It is an amenable number.

1055638257 is a deficient number, since it is larger than the sum of its proper divisors (399717135).

1055638257 is a wasteful number, since it uses less digits than its factorization.

1055638257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19048.

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 1055638257 is about 32490.5872061433. The cubic root of 1055638257 is about 1018.2123812107.

The spelling of 1055638257 in words is "one billion, fifty-five million, six hundred thirty-eight thousand, two hundred fifty-seven".

Divisors: 1 3 31 93 617 1851 18397 19127 55191 57381 570307 1710921 11350949 34052847 351879419 1055638257